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Svet_ta [14]
3 years ago
9

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?
Mathematics
1 answer:
beks73 [17]3 years ago
8 0
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
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