Project 1 Spring 2021 2nd 8 Revised

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Eastern Gateway Community College *

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105

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Mathematics

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Feb 20, 2024

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MTH105 QUANTITATIVE REASONING Project Number 1 Tailgate Mission You and your closest 9 friends decide to tailgate before attending the EGCC Gator Baseball game. You each give $5.00 for food and beverages. You are in charge of shopping at your local supermarket. Based on your budget, decide what are your best options are for purchasing hamburgers and/or hot dogs, beverages, condiments, and snacks. You need to justify (unit analysis) why you made the decisions you did. Space is given below each item to show the unit analysis. You must complete the unit price for the entire worksheet regardless of whether or not you use that item in your tailgate. Must show calculations/formula for credit. Any answer given with no calculations shown will result in no credit for that answer. This is an exercise that tests your skills in conversions, planning, and general math skills. You MUST spend no less than $45 and no more than $50 with a mixed variety of items in different categories. You can look up conversions on the internet they are readily available Assumptions: All paper products, utensils, and ice are provided by someone else in the group. You must stay within budget and cannot get money from any other source. All hamburgers must weigh approximately 1/4 of a pound precooked. HINT: Use unit conversions to compare what item is a “better deal”. Beverages Coke Products (Coke, diet Coke, Bar’s, Sprite, Fanta, Nestea, Minute Maid) Ex. I will do the first one for you 1 liter = 33.814 oz So, the 2-liter bottle contains 67.628 oz Since you get 2 for $3.00 each bottle is $1.50 If you take $1.5 / 67.628 oz that equals $.0222 per oz. always round to the nearest cent (2 decimal places) you get $.02 per oz or 2 cents per oz Description Quantity Volume/container Cost Unit Price ($per oz) 2-liter bottles 1 2L 2/$3.00 $.02/0z 12 pack of cans 12 12 oz. 3/$9.00 $.02/0z 6 pack of bottles 6 24 oz. 3/$8.00 $1.85/0z Show calculations here 3/9= $0.33 per case12*12 = 144 oz .33/144= 0.0022 per oz 3/8= $2.67 / 144 oz = $0.0185 or 1.85 cents per ounce.
Pepsi Products (Pepsi, Diet Pepsi, 7Up, Mountain Dew, Dr. Pepper) Description Quantity Volume/container Cost Unit Price ($per oz) 2-liter bottles 1 2 L 2/$3.00 $0.2/0z 12 pack of cans 12 12 oz. 3/12.00 $0.17/0z Show calculations here $1.5 / 67.628 oz that equals $.0222 per oz. = $.02 per oz or 2 cents per oz 3/12= $0.25 per case12*12 = 144 oz .25/144= $0.0017 or 0.17 cents per ounce. Bottled Water I will do the first water conversion for you too… Since there are 8 bottles at 16.9 oz per bottle, the entire 8 pack case is 135.2 oz. The cost of the case is $3.69 so you divide that by 135.2 you get $.02729.. round to 2 decimal places you get $.03 per oz or 3 cents per oz Description Quantity/case Volume/bottle Cost/case Unit Price ($per oz) 8 pack Dasani 8 16.9 oz. $3.69 $.03/oz 12 pack Ice Mountain 12 8 oz. $2.99 $.03/0z 24 pack of Nestle 24 8 oz. $2.99 $.02/0z 6 pack of Aquafina 6 24 oz. $3.79 $.03/0z 24 pack of store brand 24 16.9 oz. $2.49 $.01/0z Show calculations here 1) There are 12 bottles at 8 oz per bottle, the entire 12 pack case is 96 oz. The cost of the case is $2.99 so you divide that by 96 you get $.0311.. round to 2 decimal places you get $.03 per oz or 3 cents per oz 2) There are 24 bottles at 8 oz per bottle, the entire 24 pack case is 192 oz. The cost of the case is $2.99 so you divide that by 192 you get $.0155.. round to 2 decimal places you get $.02 per oz or 2 cents per oz 3) There are 6 bottles at 24 oz per bottle, the entire 6 pack case is 144 oz. The cost of the case is $3.79 so you divide that by 144 you get $.0263.. round to 2 decimal places you get $.03 per oz or 3 cents per oz 4) There are 24 bottles at 16.9 oz per bottle, the entire 24 pack case is 405.6 oz. The cost of the case is $2.49 so you divide that by 405.6 you get $.0061.. round to 2 decimal places you get $.01 per oz or 1 cent per oz Power Drinks Description Quantity Volume Cost Unit Price ($per oz) Gatorade 1 32 oz. $.69 $.02/0z Monster 1 16 oz. 4/$5.00 $.08/0z Powerade 1 32 oz. $.79 $.02/0z Show calculations here 1) The volume is 32 oz and the cost is $0.69, so you divide that by 32 you get $0.0215.. round to
2 decimal places you get $0.02 per oz or 2 cents per oz 2) The volume is 16 oz and the cost is 4/$5.00, so each can costs $1.25. You divide that by 16 you get $0.0781.. round to 2 decimal places you get $0.08 per oz or 8 cents per oz 3) The volume is 32 oz and the cost is $0.79, so you divide that by 32 you get $0.0247.. round to 2 decimal places you get $0.02 per oz or 2 cents per oz Entrée Hot Dogs Note: quantity per pack does not factor in your unit price per oz calculation Description Quantity/pack. Weight/pack. Cost/pack. Unit Price ($Per oz) Oscar Meyer 10 1 lb. $1.99 $0.12/0z Kahn’s Bun Size 8 16 oz. $2.49 $0.16/0z Hebrew National 7 12 oz. $3.99 $0.33/0z Oscar Meyer 8 1 lb. $3.39 $0.21/0z John Morrell 10 16 oz. $1.69 $0.11/0z Show calculations here 1) The weight is 16 oz (1 lb) and the cost is $1.99, so you divide that by 16 you get $0.1243.. round to 2 decimal places you get $0.12 per oz. 2) The weight is 16 oz and the cost is $2.49, so you divide that by 16 you get $0.1556.. round to 2 decimal places you get $0.16 per oz. 3) The weight is 12 oz and the cost is $3.99, so you divide that by 12 you get $0.3325.. round to 2 decimal places you get $0.33 per oz. 4) The weight is 16 oz (1 lb) and the cost is $3.39, so you divide that by 16 you get $0.2118.. round to 2 decimal places you get $0.21 per oz. 5) The weight is 16 oz and the cost is $1.69, so you divide that by 16 you get $0.1056.. round to 2 decimal places you get $0.11 per oz. Hamburgers Description Weight/pack. Cost/pack Notes Unit Price ($per lb.) Ground Sirloin 1 lb. $5.69 $5.96/lbs 4 premade ground angus patties 1.5 lbs. $5.49 $3.66/lbs Tube of ground chuck 3 lbs. $10.47 80% lean/20% fat $3.49/lbs Tube of ground beef 5 lbs. $13.95 73%lean/27% fat $2.79/lbs Ground turkey 1 lb. $4.19 $4.19/lbs Show calculations here 1) Weight is 1 lb and the cost is $5.69, so the unit price is $5.69 per lb. 2) Weight is 1.5 lbs and the cost is $5.49, so you divide that by 1.5 you get $3.66.. round to 2 decimal places you get $3.66 per lb.
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3) Weight is 3 lbs and the cost is $10.47, so you divide that by 3 you get $3.49.. round to 2 decimal places you get $3.49 per lb. 4) Weight is 5 lbs and the cost is $13.95, so you divide that by 5 you get $2.79.. round to 2 decimal places you get $2.79 per lb. 5) Weight is 1 lb and the cost is $4.19, so the unit price is $4.19 per lb. Hot Dog Buns Description Quantity/package Cost/package Unit Price ($per bun) Pack of 8 8 $1.00 $0.13/bun Pack of 12 12 $2.69 $0.22/bun Show calculations here 1) Quantity is 8 and the cost is $1.00, so you divide that by 8 you get $0.125.. round to 2 decimal places you get $0.13 per bun. 2) Quantity is 12 and the cost is $2.69, so you divide that by 12 you get $0.2241.. round to 2 decimal places you get $0.22 per bun. Hamburger Buns Description Quantity/package Cost/package Unit Price ($per bun) Pack of 8 8 $1.00 $0.13/bun Pack of 8 Sesame Seed 8 $1.50 $0.19/bun Pack of 12 12 $1.99 $0.17/bun Show calculations here 1) Quantity is 8 and the cost is $1.00, so you divide that by 8 you get $0.125.. round to 2 decimal places you get $0.13 per bun. 2) Quantity is 8 and the cost is $1.50, so you divide that by 8 you get $0.1875.. round to 2 decimal places you get $0.19 per bun. 3) Quantity is 12 and the cost is $1.99, so you divide that by 12 you get $0.1658.. round to 2 decimal places you get $0.17 per bun. Condiments Mustard Description Weight/container Cost/container Unit Price ($per oz) French’s 8 oz. $1.47 $0.18/0z Hellmann’s 9.5 oz. $2.59 $0.27/0z Store brand 8 oz. $.79 $0.10/0z Show calculations here
1) Weight is 8 oz and the cost is $1.47, so you divide that by 8 you get $0.1837.. round to 2 decimal places you get $0.18 per oz. 2) Weight is 9.5 oz and the cost is $2.59, so you divide that by 9.5 you get $0.2726.. round to 2 decimal places you get $0.27 per oz. 3) Weight is 8 oz and the cost is $0.79, so you divide that by 8 you get $0.0987.. round to 2 decimal places you get $0.10 per oz. Ketchup Description Weight/container Cost/container Unit Price ($per oz) Hunt’s 24 oz. $1.00 $0.04/0z Heinz 20 oz. $2.19 $0.11/0z Store brand 24 oz. $1.00 $0.04/0z Show calculations here 1) Weight is 24 oz and the cost is $1.00, so you divide that by 24 you get $0.0416.. round to 2 decimal places you get $0.04 per oz. 2) Weight is 20 oz and the cost is $2.19, so you divide that by 20 you get $0.1095.. round to 2 decimal places you get $0.11 per oz. 3) Weight is 24 oz and the cost is $1.00, so you divide that by 24 you get $0.0416.. round to 2 decimal places you get $0.04 per oz. Mayonnaise Description Weight/container Cost/container Unit Price ($per oz) Hellmann’s 16.5 oz. $2.99 $0.18/0z Miracle Whip 12 oz. $3.59 $0.30/0z Store brand 12 oz. $1.99 $0.17/0z Show calculations here 1) Weight is 16.5 oz and the cost is $2.99, so you divide that by 16.5 you get $0.1811.. round to 2 decimal places you get $0.18 per oz. 2) Weight is 12 oz and the cost is $3.59, so you divide that by 12 you get $0.2991.. round to 2 decimal places you get $0.30 per oz. 3) Weight is 12 oz and the cost is $1.99, so you divide that by 12 you get $0.1658.. round to 2 decimal places you get $0.17 per oz. American Cheese Note. the quantity / pack does not factor in your unit price per oz calculation Description Quantity/pack Weight/pack Cost/pack Unit Price ($per oz) Kraft 24 slices 16 oz. $4.49 $0.28/0z
Velveeta 24 slices 12 oz. $5.69 $0.47/0z Store brand 16 slices 12 oz. $2.69 $0.22/0z Show calculations here 1) Weight is 16 oz and the cost is $4.49, so you divide that by 16 you get $0.2806.. round to 2 decimal places you get $0.28 per oz. 2) Weight is 12 oz and the cost is $5.69, so you divide that by 12 you get $0.4741.. round to 2 decimal places you get $0.47 per oz. 3) Weight is 12 oz and the cost is $2.69, so you divide that by 12 you get $0.2241.. round to 2 decimal places you get $0.22 per oz. Snacks & Desserts Description Weight/pack Cost/pack Unit Price ($per oz) Bakery Cookies 18 oz $3.99 $0.22/0z Oreo Double Stuff 15 oz. $2.99 $0.20/0z Chips Ahoy 13 oz. $2.49 $0.19/0z Lays Chips 10 oz. $2.99 $0.30/0z Grippo’s 8 oz. $2.79 $0.35/0z Husman’s 10 oz. $4.29 $0.43/0z Ruffles 8.5 oz. $2.99 $0.35/0z Doritos 11 oz. $3.29 $0.30/0z Store brand pretzels 15 oz. 3/$5.00 $0.11/0z Show calculations here 1) Weight is 18 oz and the cost is $3.99, so you divide that by 18 you get $0.2216.. round to 2 decimal places you get $0.22 per oz. 2) Weight is 15 oz and the cost is $2.99, so you divide that by 15 you get $0.1993.. round to 2 decimal places you get $0.20 per oz. 3) Weight is 13 oz and the cost is $2.49, so you divide that by 13 you get $0.1915.. round to 2 decimal places you get $0.19 per oz. 4) Weight is 10 oz and the cost is $2.99, so you divide that by 10 you get $0.299.. round to 2 decimal places you get $0.30 per oz. 5) Weight is 8 oz and the cost is $2.79, so you divide that by 8 you get $0.3487.. round to 2 decimal places you get $0.35 per oz. 6) Weight is 10 oz and the cost is $4.29, so you divide that by 10 you get $0.429.. round to 2 decimal places you get $0.43 per oz. 7) Weight is 8.5 oz and the cost is $2.99, so you divide that by 8.5 you get $0.3517.. round to 2 decimal places you get $0.35 per oz. 8) Weight is 11 oz and the cost is $3.29, so you divide that by 11 you get $0.2990.. round to 2 decimal places you get $0.30 per oz.
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9) Weight is 15 oz and the cost is 3/$5.00. So, the cost of one pack is $5.00/3 = $1.67. Then, you divide that by 15 you get $0.1113.. round to 2 decimal places you get $0.11 per oz. ****************************************************************************** Project Questions 1. What beverages would you purchase and in what quantities? 2-liter bottles 1 2L 2/$3.00 $.02/0z QTY 4 24 pack of Nestle 24 8 oz. $2.99 $.02/0z QTY 1 2. How did you arrive at that decision? Explain your reasoning. Four two liters of soda would be enough for each of the group members to enjoy at least two 6- 8oz cups of soda. Having a 24 pack of water will allow everyone to have at least two water bottles at the event. This is enough beverages to ensure that everyone has something to drink. 3. How much would you spend on beverages? $8.99 4. How many hot dogs and/or hamburgers, including buns, would you purchase? Please list those along with their quantities. Oscar Meyer 10 1 lb. $1.99 $0.12/0z QTY 2 Pack of 8 8 $1.00 $0.13/bun QTY 2 Tube of ground chuck 3 lbs. $10.47 80% lean/20% fat $3.49/lbs QTY 1 Pack of 12 12 $1.99 $0.17/bun QTY 1 5. How did you arrive at that decision? Explain your reasoning. Had to ensure there would be enough food for everyone to get at least one hot dog and hamburger but if there is more food available that would be ideal. 6. How much did you spend on hot dogs, hamburgers, and buns? $18.44 7. What condiments would you purchase? Please list those along with their quantities. Store brand 8 oz. $.79 $0.10/0z QTY 2 Hunt’s 24 oz. $1.00 $0.04/0z QTY 1 Store brand 12 oz. $1.99 $0.17/0z QTY 1 Store brand 16 slices 12 oz. $2.69 $0.22/0z QTY 1
8. How did you arrive at that decision? Explain your reasoning To save additional funds torwards snacks, I thought it would be a good idea to go with the store brand for some of the condiments. 9. How much did you spend on condiments? $7.26 10. What snacks would you purchase? Please list those along with their quantities. Chips Ahoy 13 oz. $2.49 $0.19/0z QTY 1 Doritos 11 oz. $3.29 $0.30/0z QTY 1 Lays Chips 10 oz. $2.99 $0.30/0z QTY 1 11. How did you arrive at that decision? Explain your reasoning. My goal was to provide a few different snack options that can be enjoyed with the hot dogs and burgers this can help to ensure everyone gets enough during the tailgate. 12. How much did you spend on snacks? $8.77 13. How much did you spend total ? $43.49