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 makes $337.50 how many pounds of peaches did she sell?

She sold 65 pounds of peaches to make $337.50 .

Step-by-step explanation:

Given :

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.

She made $337.50.

To Find : If she makes $337.50 how many pounds of peaches did she sell?

Solution :

Let She sold x pounds of apples.

Let She sold y pounds of peaches .

Since we are given that she old a total of 165 pounds of apples and peaches.

⇒      ----(A)

Now , cost of 1 pound of apples = $1.75

So, cost of x pounds of apples = $1.75 x .

Now , cost of 1 pound of peaches  = $2.50

So, cost of y pounds of peaches = $2.50 y .

Since she made $337.50

⇒$1.75 x + $2.50 y  = $337.50   ---(B)

Now solve (A) and (B) using substitution method

Substitute values of x from (A) in (B)

⇒1.75 (165-y)+2.50y  = 337.50

⇒288.75 - 1.75 y +2.50 y = 337.50

⇒288.75 + 0.75 y = 337.50

⇒0.75 y = 337.50 - 288.75

⇒0.75 y = 48.75

⇒ y = 48.75/0.75

⇒y = 65

Thus , She sold 'y' 65 pounds of peaches .

To calculate value of x put this value of y in (A)

⇒x + 65 = 165

⇒ x = 165-65

⇒x = 100

Thus , She sold 'x' 100 pounds of apples

Hence , she sold 65 pounds of peaches to make $337.50 .