SOLUTION: a vending machine only takes quarters and loonies. if there are 100 coins and the total is 64$, how many of each coin is there?

Question 988366: a vending machine only takes quarters and loonies. if there are 100 coins and the total is 64$, how many of each coin is there?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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L=number of loonies; Q=number of quarters=100-L
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$1L+$.025Q=$64
$1L+$0.25(100-L)=$64
$1L+$25-$0.25L=$64
$0.75L=$39
L=52 ANSWER 1: There are 52 loonies.
Q=100-L=100-52=48 ANSWER 2: There are 48 quarters,
.
CHECK:
$1L+$.025Q=$64
$1(52)+$.025(48)=$64
$52+$12=$64
$64=$64
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