SOLUTION: Kevin and randy muise have a jar containing 61 coins, all of which are either quarter or nickels. The total value of the coins in the jar is $5.65. How many of each type do they ha

Question 1030762: Kevin and randy muise have a jar containing 61 coins, all of which are either quarter or nickels. The total value of the coins in the jar is $5.65. How many of each type do they have?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make Nickels = x
and Quarters = y
x = y = 61.......(1)
5x + 25y = 565......(2)
Multiply Eq(1) by 25
25x + 25y = 1525.....(1)
5x + 25y = 565.......(2)
Subtract Eq(2) from Eq(1)
20x = 960
x = 48
Substitute x = 48 into Eq(1)
x + y = 61
48 + y = 61
y = 61 - 48
y = 13
Kevin and Randy had:-
48 Nickels and 13 Quarters.
Hope this helps:-)
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