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?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> 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?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (Show Source):
You can put this solution on YOUR website!
.
L=number of loonies; Q=number of quarters=100-L
.
$1L+$.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