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?

Step-by-step explanation:

a + p = 165a = 165 - p

1.75a + 2.5p = 337.50

1.75(165 - p) + 2.5p = 337.50

288.75 - 1.75p + 2.5p = 337.50

-1.75p + 2.5p = 337.50 - 288.75

0.75p = 48.75

p = 48.75 / 0.75

p = 65 < 65 lbs of peaches were sold

a + p = 165

a + 65 = 165

a = 165 - 65

a = 100 <=== there were 100 lbs of apples sold

check...

1.75a + 2.5b = 337.50

1.75(100) + 2.5(65) = 337.50

175 + 162.50 = 337.50

337.50 = 337.50 (correct)

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled