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Chapter 5: Q. 339 (page 679)
LaVelle is making a pitcher of caffe mocha. For each ounce of chocolate syrup, she uses five
ounces of coffee. How many ounces of chocolate syrup and how many ounces of coffee does she need to make 48 ounces of caffe mocha?
The amount of coffee required is 40 ounces.
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In the following exercises, translate to a system of equations and solve.
Carol invested $2560 into two accounts. One account paid 8% interest and the other paid 6% interest. She earned 7.25% interest on the total investment. How much money did she put in each account?
Translate to a system of equations and solve:
Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her \(6 per pound. Peanuts are \)4 per pound and cashews are $9 per pound. How many pounds of peanuts and how many pounds of cashews should she use?
In the following exercises, translate to a system of equations and solve.
The Jones family took a 12 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took three hours. Find the rate of the canoe in still water and the rate of the current.
In the following exercises, translate to a system of equations and solve.
A cashier has 54 bills all of which are \(10 or \)20 bills. The total value of the money is $910. How many of each type of bill does the cashier have?
In the following exercises, translate to a system of inequalities and solve.
Roxana makes bracelets and necklaces and sells them at the farmers鈥� market. She sells the bracelets for \(12 each and the necklaces for \)18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit.
鈸� Write a system of inequalities to model this situation.
鈸� Graph the system.
鈸� Should she display 26 bracelets and 14 necklaces?
鈸� Should she display 39 bracelets and 1 necklace?
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