SOLUTION: Apples cost $0.60 per pound and grapes cost $1.00 per pound. Jenny bought 12 lb of fruit and paid $10.00. How many pounds of each did Jenny buy?

Question 193292: Apples cost $0.60 per pound and grapes cost $1.00 per pound. Jenny bought 12 lb of fruit and paid $10.00. How many pounds of each did Jenny buy?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Apples cost $0.60 per pound and grapes cost $1.00 per pound.
Jenny bought 12 lb of fruit and paid $10.00.
How many pounds of each did Jenny buy?
:
Write two equations:
:
total fruit (lbs):
a + g = 12
or
g = (12-a); use for substitution
:
Total cost
.60a + 1.00g = 10.00
:
Substitute (12-a) for g in the above equation
.6a + 1(12-a) = 10
.6a + 12 - a = 10
.6a - a = 10 - 12
-.4a = -2
a =
a = 5 lb of apples
and
12 - 5 = 7 lb of grapes
;
;Check total cost
.6(5) + 1(7) = 10
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