Math Exercises Chapter 3, 3rd ed

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Math Exercises Chapter 3 1. A cheese platter is set up with 3 pounds of Swiss, 5 pounds of sharp cheddar, 3 pounds of Gorgonzola, and 4 pounds of spicy pepper jack. How many pounds of cheese are on the platter? 2. An empty serving platter weighs 16 ounces. If 6 pounds of buffalo chicken wings and 16 ounces of blue cheese dressing are placed on the platter, what is the combined weight of the platter, chicken wings and dressing? 3. A restaurant reduces expenses and leftovers by preparing cured meats in-house and shopping locally for the fruits and cheeses used on their charcuterie boards. If a filled charcuterie board weighs 42 ounces and the board alone weighs 23 ounces, what is the weight, in pounds and ounces, of the food on the board? 4. A Caprese salad recipe uses 2 pounds of mozzarella cheese, 1 pound of heirloom tomatoes, and 2 cans, 6 ounces each, of black olives. What is the combined weight in pounds of the cheese, tomatoes, and olives if the recipe is quadrupled? 5. If a server brews 5 gallons of coffee per day, 7 days per week, how many total gallons of coffee does the server brew per week? 6. If a cook peeled 200 pounds of potatoes in 4 hours, how many pounds of potatoes did the cook peel per hour on average? 7. What is the total amount of salt and pepper in a recipe that requires 3/8 ounce of salt and 1/8 ounce of black pepper? 8. If a spice container holds 7/8 ounce of oregano, and 5/8 ounce is used, how much oregano is left in the container? 9. A meatloaf recipe calls for ½ pound of ground beef, ½ pound of ground veal, and ½ pound of ground pork. How many total pounds of meat does the recipe require? 10. A prep cook needs to grate cheese for three different recipes. The first recipe calls for 1 3/8 pounds, the second calls for 2 ½ pounds, and the third calls for 1 ¼ pounds. What is the total amount of cheese that must be grated? 11. A coffeehouse prepares a pumpkin-spice iced latte with a 2-fluid-ounce shot of expresso, 1 ½ fluid ounces of pumpkin-spice syrup, 3 ¼ fluid ounces of milk, and 5 ¼ fluid ounces of crushed ice. How many fluid ounces are in each pumpkin-spice iced latte? 12. A chef purchases whole beef chuck rolls and grinds them in-house to lower costs. If the week’s menu requires 12 ½ pound of ground beef for meatloaf, 15 3/8 pounds for hamburgers, and 6 ¾ pounds for chili, how many total pounds of ground beef does the chef need? 13. A server starts a shift with 20 ½ quarts of iced tea available for beverage service. After lunch, 2 1/3 quarts of iced tea are left. How much iced tea did the server use during lunch? 14. If 17 ¾ pounds of stew meat are needed but a chef only has 5 7/8 pounds, how many more pounds of stew meat are needed? 15. A recipe calls for 4 2/3 cups of stock. If 4 ½ times the recipe needs to be made, how much stock will be needed? 16. If each bottle of mustard contains 12 ½ ounces of mustard, how many ounces are there in 6 ½ bottles of mustard? 17. If each potato weighs 2/3 pound, how many potatoes are there in a 50-pound case?
18. How many ¼ pound pork chops can be cut from a 9 ½ pound boneless pork loin? 19. A quick-service restaurant stopped serving meals on disposable, nonbiodegradable plates in favor of more eco-friendly, washable plates. Prior to the switch, how many of the nonbiodegradable plates had the restaurant been using each day if one disposable plate weighed 1/60 pound and 5 pounds were typically used each day? 20. A café will use the six zucchinis that remain in inventory to make one loaf of zucchini bread and a spiralized zucchini “noodle” salad. How many zucchinis are available to make the salad if 2 cups of grated zucchini are needed for the bread and one zucchini yields 2/3 cups of grated zucchini? 21. How many ¼-cup portions can be served from 12 quarts of potato salad? 22. How many gallons of soup are needed if 96 people at an event will be served a ½-cup portion of soup? 23. The owner of a concession stand lowers costs by using sustainably farmed, local ingredients to prepare lemonade and sun tea that are then served in 12-fluid-ounce recyclable cups. If the day’s sales include 3 1/8 gallons of lemonade, 1 ½ gallons of unsweetened sun tea, and 1 3/8 gallons of sweetened sun tea, how many 12-fluid-ounce cups of these beverages were sold? 24. After trimming 8 ounces of surface fat from a 15 ½ pound strip loin, how many 12-ounce New York strip steaks can be cut from the loin? 25. The surface fat from trimming beef loins is placed in a freezer bag and frozen for later use in beef stock preparation. If 1 cup of water is needed for every ½ pound of surface fat, how many pounds of surface fat are needed to make 3 ½ gallons of beef stock? Not on quiz 26. A chicken breast weighs 1.375 pounds on a digital scale. Express that same weight as a mixed number. 27. What will be the decimal reading on a digital scale for a 1 5/8 pound steak? 28. If a cantaloupe weighs 2 3/8 pounds, a watermelon weighs 6.25 pounds, and a honeydew melon weighs 3 ½ pounds, what is the total weight of all the melons? (Show as a mixed number.) 29. A restaurant receives an electric bill for $245.67, a gas bill for $734.90, and a water bill for $45.93. What is the total amount of the three utility bills? 30. If a whole turkey weighs 18.24 pounds before the breasts are removed, and 12.86 pounds after the breasts are removed, what is the weight of the turkey breasts? 31. A manager in a restaurant earns $17.25 per hour. How much will the manager earn for 35.6 hours worked? 32. To meet consumer demand and promote sustainability, a fast-casual restaurant adds more plant-based menu items and reduces meat portions from 8 ounces to 6 ounces per dish. On average, 69 portions of the 8 ounce meat dishes priced at $8.95 had sold daily, while 87 portions of the 6-ounce meat dishes priced at $7.25 now sell daily. How much more daily revenue results from this menu change? 33. A restaurant purchases a new ENERGY STAR®-certified conveyer-rack dishwasher that uses 0.38 gallons of water per rack compared to the old dishwasher that used 0.89 gallons per rack. If the restaurant washes 243 racks per hour, how much water will be saved after 8 hours of dishwasher use? 34. If 16.4 kilograms of cheese is cut into 400 gram pieces, how many pieces of cheese will there be? 35. A small bag of fries at a quick-service restaurant weighs 80 grams and costs $1.39, while a large bag of fries weighs 114 grams and costs $1.69. Which bag of fries has the lower cost per gram and what is its cost per gram?
36. A restaurant’s switch to earth-friendly to-go containers has been worth the higher costs, as it has resulted in increased business. The earth-friendly containers cost $20.00 for 30 containers, while the previously used plastic containers has cost $32.00 for 50 containers. If 1200 containers were used last month, how much more was spent on the earth-friendly containers than on the plastic containers? 37. A restaurant purchases a new ENERGY STAR®-certified washing machine, which uses less water and energy to launder their kitchen towels and aprons. The new washing machine uses 2 tablespoons of detergent per load, while the old washing machine used ¼ cup per load. If the restaurant washes 42 loads in one month, how many tablespoons of detergent will be saved monthly? 38. Based on the chart below, if a recipe calls for 5.2 pounds of asparagus, 2.4 pounds of broccoli crowns, and 2 packages, 8 ounces each, of mushrooms, how much more will be spent if organic vegetables are used instead of nonorganic vegetables? (Round each price to the nearest cent.) Vegetable Prices Vegetable Type Regular Price Organic Price Asparagus $1.49/lb $2.49/lb Broccoli Crowns $0.69/lb $0.99/lb Mushrooms (8-oz package) $1.50 ea $2.00 ea 39. If brownies are baked in a pan measuring 13 inches long by 9 inches wide, how many square inches of brownies will the pan hold? 40. A buffet that measures 3 feet wide by 15 feet long has a hot-foods section and cold-foods section. If the cold-foods section requires a space of 3 feet by 6 feet, how many square feet remain for the hot-foods section? 41. If the base of a round wedding cake is 20 inches in diameter, what is the area of the base of the wedding cake? 42. What is the difference in square inches between the area of an 8-inch circular plate and the area of an 8-inch square plate? 43. If a rectangular chafing dish holds a container that measures 15 inches long by 9 inches wide by 3 inches deep, how many quarts of food will the chafing dish hold? (Tip: 1 quart = 57.8 cubic inches). 44. If a soup warmer holds a cylinder-shaped container that measures 8 inches in diameter and is 12 inches high, how many quarts of soup will the container hold? (Tip: 1 quart = 57.8 cubic inches). 45. Not used for quiz 46. If a round pizza is cut into 12 equal pieces through the center, what is the central angle of each piece? (360 degrees in a circle) not use for quiz 47. If all of the apples in 6 bags, 10 pounds each, are counted and the total number of apples is 150, what is the average number of apples per bag? 48. If 4 customers in a restaurant are presented with checks in the amounts of $54.32, $67.90, $89.25, and $32.50, what is the average check amount per customer? 49. If four whole chickens weigh 8 1/3 pounds, 7 5/6 pounds, 6 ¾ pounds, and 7 1/12 pounds, respectively, what is the average weight of the chicken? (Show in decimal form.) 50. Not used for quiz
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