SOLUTION: the price of a pound of cherries is $0.30 more than five times the price of a pound of apples. The price of a pound of bananas is $0.10 less than double the price of apples. Joe bo

Question 980885: the price of a pound of cherries is $0.30 more than five times the price of a pound of apples. The price of a pound of bananas is $0.10 less than double the price of apples. Joe bought 4 pounds of cherries, 5 pounds of bananas, and 3 pounds of apples, and spent a total of $16.87. Find the price of apples, bananas and cherries.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the price in cents of a pound of cherries
Let = the price in cents of a pound of apples
Let = the price in cents of a pound of bananas
-----------------------------------------
(1)
(2)
(3)
-----------------------------
This is 3 equations and 3 unknowns, so it's solvable
Substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
and
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
----------------------
The price of a pound of cherries is $2.75
The price of a pound of apples is $.49
The price of a pound of bananas is $.88
----------------
check:
(3)
(3)
(3)
(3)
OK
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