Kevin and Randy Muise have a jar containing 85 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $ 14.25. How many of each type of coin do they have?

Let the number of quarter be x and that of nickels be y

total number of coins will be:

x+y=85

thus

x=85-y ... i

total amount of money will be:

0.25x+0.05y=14.25 ... ii

substituting i in ii we get:

0.25 (85-y) + 0.05y=14.25

21.25-0.25y+0.05y=14.25

7=0.2y

y=7/0.02

y=35

thus

x=85-35=50

the number of quarters was 50 and that of nickels was 35