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?

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) (Show Source): You can put this solution on YOUR website!

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

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