Algebra-2

Let's assume the number of pounds of pears is  and the number of pounds of apples is .

Step 1: Set up equations based on the quantity

We know that the total amount of fruit is  pounds. So we have the equation:

Step 2: Set up equations based on the cost and price relationship

Let the price per pound of pears be  dollars. Then the price per pound of apples is  dollars.

She paid $ for the apples, and since the number of pounds of apples is  and the price per pound is , we have the equation , or .

She paid $ for the pears, and since the number of pounds of pears is  and the price per pound is , we have the equation , which implies .

Substitute  into , we get

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