SOLUTION: Joe sold 30 peaches from his tree for a total of $7.50. He sold the small ones for 20 cents each and the large ones for 35 cents eaach. How many of each kind did he sell?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Joe sold 30 peaches from his tree for a total of $7.50. He sold the small ones for 20 cents each and the large ones for 35 cents eaach. How many of each kind did he sell?      Log On


   



Question 561076: Joe sold 30 peaches from his tree for a total of $7.50. He sold the small ones for 20 cents each and the large ones for 35 cents eaach. How many of each kind did he sell?
Answer by Maths68(1474) About Me  (Show Source):
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Total peaches = 30
Cost of all peaches = $7.50
Small DISABLED_event_ones= x
large DISABLED_event_ones= 30-x
Price of a small peach = $0.20
Price of a small peach = $0.35
(Cost of a small peach)*(total small peaches) + (cost of a large peaches)*(total large peaches) = Total cost of all peaches
(0.20)(x)+(0.35)(30-x)=7.30
0.2x+10.5-0.35x=7.50
-0.15x+10.5=7.50
-0.15x=7.50-10.5
-0.15x=-3.0
-0.15x/-0.15=-3.0/-0.15
x=20


Small DISABLED_event_ones= x = 20
large DISABLED_event_ones= 30-x = 30-20 = 10



Check
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=20*0.20 + 10*0.35
=4+3.5
=$7.5