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Chapter 5: Q. 65 (page 596)
Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How many ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix?
He needs 8 ounces of nuts and 16 ounces of raisins.
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Determine whether the ordered pair is the solution to the system
(a)
(b)
In the following exercises, translate to a system of equations and solve.
Nancy bought seven pounds of oranges and three pounds of bananas for \(17. Her husband later bought three pounds of oranges and six pounds of bananas for \)12. What was the cost per pound of the oranges and the bananas?
Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system
(a) for t to find out how long it will take Tina to catch up to Stephanie.
(b) what is the value of s, the number of hours Stephanie will have driven before Tina catches up to her?
In the following exercises, translate to a system of equations and solve.
Mitchell currently sells stoves for company A at a salary of \(12,000 plus a \)150 commission for each stove he sells. Company B offers him a position with a salary of \(24,000 plus a \)50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?
In the following exercises, translate to a system of equations and solve.
Amara currently sells televisions for company A at a salary of \(17,000 plus a \)100 commission for each television she sells. Company B offers her a position with a salary of \(29,000 plus a \)20 commission for each television she sells. How televisions would Amara need to sell for the options to be equal?
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