SOLUTION: Thirty pound of dried fruit mix contained apples worth #3.15 a pound and pears worth $4.25 a pound. How many pounds of each did the mix contain if the value of the mix was $107.70?

Question 731619: Thirty pound of dried fruit mix contained apples worth #3.15 a pound and pears worth $4.25 a pound. How many pounds of each did the mix contain if the value of the mix was $107.70?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of apples needed
Let = pounds of pears needed
given:
(1)
(2)
----------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
18 pounds of apples and 12 pounds of pears are needed
check:
(2)
(2)
(2)
(2)
OK

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