Mo's farm stand sold a total of 150 pounds of apples and peaches. She sold apples for $2 per pound and peaches for $5 per pound. If she made $350, how many pounds of peaches did she sell?

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Answer 1 · 2018-03-30T09:03:26

#50/3#

Let #x# be the number of pounds of peaches that have been sold. So #150-x# is the number of pounds of apples sold(as the total pounds are #150#).

Money made from selling a pound of peaches #= 5# dollars
money made from selling #x# pounds of peaches #= 5x# dollars

Similarly

Money made from selling a pound of apples #= 2# dollars
Money made from selling #150-x# pounds of apples = #2(150-x)#

So

#5x + 2(150-x) = 350 " "#(as total money made is #350#)

#5x + 300 - 2x = 350#

#3x + 300 = 350#

#3x = 50#

#x = 50/3 #

We had originally considered the total pounds of peaches sold as #x#, so the answer is #50/3# pounds of peaches are sold.

Also, pounds of apples sold #= 150-x#

As

#x = 50/3#

Total pounds of apple sold #= 150-50/3 = 400/3#