Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for \( \$ 1.75 \) per pound and peaches for \( \$ 2.50 \) per pound. If she made \( \$ 337.50 \), how many pounds of peaches did she sell? A) 11 B) 18 C) 65 D) 100

Let \( a \) be the pounds of apples sold and \( p \) be the pounds of peaches sold. We have two equations to work with: 1. \( a + p = 165 \) (total pounds sold) 2. \( 1.75a + 2.50p = 337.50 \) (total revenue) To solve this system, we can first express \( a \) in terms of \( p \) using the first equation: \( a = 165 - p \) Now, substitute this into the second equation: \( 1.75(165 - p) + 2.50p = 337.50 \) Expanding this yields: \( 288.75 - 1.75p + 2.50p = 337.50 \) Combining the terms gives: \( 288.75 + 0.75p = 337.50 \) Now, subtract \( 288.75 \) from both sides: \( 0.75p = 48.75 \) Divide by \( 0.75 \): \( p = 65 \) So, the number of pounds of peaches sold is \( \boxed{65} \).