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1. John bought 2 computers, one desktop and one laptop. Before finance $500 more than the desktop. John paid for the computers using two different credit cards. For the desktop, the interest rate was 5% per year and the laptop it was 7.5% per year. The total finance charge for one year $587.50. How much did the desktop and laptop cost before the finance charges?

1. John bought 2 computers, one desktop and one laptop. Before finance $500 more than the desktop. John paid for the computers using two different credit cards. For the desktop, the interest rate was 5% per year and the laptop it was 7.5% per year. The total finance charge for one year $587.50. How much did the desktop and laptop cost before the finance charges?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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One day a business sold 20 pairs of gloves. The cloth gloves sold for $4.95 per pair and the leather gloves sold for $7.50 a pair. The business took in $137.25. How many of each kind were 4. 4.95. (x) + 7.50 (20 - x ) = 137,25 X= 5 were sold @P4.95 15were sold @ $ 7.5o sold? 24 112,5 An individual wants to use milk and orange juice to increase the amount of calcium and vitamin A in her daily diet. An ounce of orange juice contains 5 milligrams of calcium and 60 micrograms 5. of vitamin A. An ounce of milk contains 38 milligrams of calcium and 56 micrograms of vitamin A. How many ounces of milk and orange juice should she drink each day to provide exactly 550 milligrams of calcium and 1,200 micrograms of vitamin A? 5m + 38n l00m+56n Sm +38n: 550 38n 60m +Son=1200 m= lo0 6. A supplier for the electronic industry manufactures keyboards and screens for graphing calculators at plants in Mexico and Taiwan. The hourly production rates at each plant are given in the table below. How many hours should each plant be operated to fill an order for exactly 4,000 keyboards and 4,000 screens? Plant Keyboards Screens Mexico 40 32 Taiwan 20 32 82
Transcribed Image Text:One day a business sold 20 pairs of gloves. The cloth gloves sold for $4.95 per pair and the leather gloves sold for $7.50 a pair. The business took in $137.25. How many of each kind were 4. 4.95. (x) + 7.50 (20 - x ) = 137,25 X= 5 were sold @P4.95 15were sold @ $ 7.5o sold? 24 112,5 An individual wants to use milk and orange juice to increase the amount of calcium and vitamin A in her daily diet. An ounce of orange juice contains 5 milligrams of calcium and 60 micrograms 5. of vitamin A. An ounce of milk contains 38 milligrams of calcium and 56 micrograms of vitamin A. How many ounces of milk and orange juice should she drink each day to provide exactly 550 milligrams of calcium and 1,200 micrograms of vitamin A? 5m + 38n l00m+56n Sm +38n: 550 38n 60m +Son=1200 m= lo0 6. A supplier for the electronic industry manufactures keyboards and screens for graphing calculators at plants in Mexico and Taiwan. The hourly production rates at each plant are given in the table below. How many hours should each plant be operated to fill an order for exactly 4,000 keyboards and 4,000 screens? Plant Keyboards Screens Mexico 40 32 Taiwan 20 32 82
Solving Linear Systems of equations Set up each system of equations clearly defining the variables of interest then solve using the elimination or the substitution method. You must show work clearly 1. John bought 2 computers, one desktop and one laptop. Before finance charges, the laptop cost $500 more than the desktop. John paid for the computers using two different credit cards. For the desktop, the interest rate was 5% per year and the laptop it was 7.5% per year. The total finance charge for one year $587.50. How much did the desktop and laptop cost before the 2 Com pr E desc Top I Laprop finance charges? Best Rental charges a daily fee plus a mileage fee for renting its cars. Bill was charged $132 for 3 days and 300 miles. His friend Myles was charged $235 for 5 days and 600 miles. What does Best Rental charge per day and per mile? 2. - 132 3x+ 300y= 5x + (600 y.:235 Car Rental Services day per rental ly=t3/20 per Mile 3. A petroleum company has two different sources of crude oil. The first source provides crude oil that is 20% hydrocarbons, and the second one provides oil that is 70% hydrocarbons. In order to obtain 180 gallons of crude oil that is 30% hydrocarbons, how many gallons of crude oil must be used from the two sources? 180-1니나: 3o .70y=.30:180 54 •20x + 1st source = 144 2nd Source - 36 .20x * 10Y . 20 x +,10 (18ox)= 54 ,2 DX + 126.fox =54 X = 144
Transcribed Image Text:Solving Linear Systems of equations Set up each system of equations clearly defining the variables of interest then solve using the elimination or the substitution method. You must show work clearly 1. John bought 2 computers, one desktop and one laptop. Before finance charges, the laptop cost $500 more than the desktop. John paid for the computers using two different credit cards. For the desktop, the interest rate was 5% per year and the laptop it was 7.5% per year. The total finance charge for one year $587.50. How much did the desktop and laptop cost before the 2 Com pr E desc Top I Laprop finance charges? Best Rental charges a daily fee plus a mileage fee for renting its cars. Bill was charged $132 for 3 days and 300 miles. His friend Myles was charged $235 for 5 days and 600 miles. What does Best Rental charge per day and per mile? 2. - 132 3x+ 300y= 5x + (600 y.:235 Car Rental Services day per rental ly=t3/20 per Mile 3. A petroleum company has two different sources of crude oil. The first source provides crude oil that is 20% hydrocarbons, and the second one provides oil that is 70% hydrocarbons. In order to obtain 180 gallons of crude oil that is 30% hydrocarbons, how many gallons of crude oil must be used from the two sources? 180-1니나: 3o .70y=.30:180 54 •20x + 1st source = 144 2nd Source - 36 .20x * 10Y . 20 x +,10 (18ox)= 54 ,2 DX + 126.fox =54 X = 144
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