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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?

Respuesta :

texaschic101

Answer:

Step-by-step explanation:

a + p = 165......a = 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)

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