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:
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
