SOLUTION: Kevin and Randy Muise have a jar containing 72 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.40. How many of each type of coin

Question 972938: Kevin and Randy Muise have a jar containing 72 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.40. How many of each type of coin do they have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Q=number of quarters; N=number of nickels
Q+N=72
Q=72-N Use this to substitute for Q
.
$0.25Q+$0.05N=$11.40 Substitute for Q.
$0.25(72-N)+$0.05N=$11.40
$18.00-$0.25N+$0.05N=$11.40
-$0.20N=-$6.60
N=33 They have 33 nickels
Q=72-N=72-33=39 They have 39 quarters
.
CHECK:
$0.25Q+$0.05N=$11.40
$0.25(39)+$0.05(33)=$11.40
$9.75+$1.65=$11.40
$11.40=$11.40
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