Question

Bryce spent $ 5.26 on some apples priced at $ 0.64 each and some pears priced at $ 0.45 each. At another store I could have bought the same number of apples at $ 0.32 each and the same number of pears at $ 0.39 each, for a total cost of $ 3.62. How many apples and how many pears did Bryce buy?
a. Write equations to represent Bryce's expenditures at each store. Second store:
First store:
b. Solve the system Number of pears:
Number of apples:
Number of pears:

Answer 1

We are going to define variables.
 x: number of apples.
 y: number of pears.
 We write the system of equations:
 0.64x + 0.45y = 5.26
 0.32x + 0.39y = 3.62
 Solving the system we have:
 x = 4
 y = 6
 answer: 
 First store: 0.64x + 0.45y = 5.26
 Second store: 0.32x + 0.39y = 3.62 
 Number of apples: 4
 Number of pears: 6