SOLUTION: If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold? You're assistance is GRE

Question 53563: If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold?
You're assistance is GREATLY APPRECIATED!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If prunes cost $2.90/lb and apricots cost $3.15/lb and a total of 20 lbs of the two combined was sold for $59.75. How many pounds of each fruit was sold?
:
A standard mixture problem, learn this method and you can do most of these type of problems.
:
Let x = no. of lbs of prunes
:
The two fruit amts add up to 20, so we can say:
(20-x) = no of lbs of apricots
:
2.90(x) + 3.15(20-x) = 59.75
:
2.9x + 63 - 3.15x = 59.75
:
2.9x - 3.15x = 59.75 - 63
:
-.25x = -3.25
:
x = -3.25/-.25
:
x = +13 lb of prunes
:
then 20 - 13 = 7 lb of apricots
:
:
Check out solution:
2.9(13) + 3.15(7) =
37.7 + 22.05 = 59.75

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