SOLUTION: kevin and Randy Muise have a jar containing 85 coins, all of which are either quarters or nickles. The total value of the coins in the jar is $11.45. How many of each type of coin

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Question 985265: kevin and Randy Muise have a jar containing 85 coins, all of which are either quarters or nickles. The total value of the coins in the jar is $11.45. How many of each type of coin do they have?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Jar contains 85 coins
A mixture of quarters and nickels
Quarters = 'x'
Nickels = 'y'
x + y = 85.....(1)
Total value = $11.45
25x + 5y = 1145......(2)
................
x + y = 85........(1)
25x + 5y = 1145....(2)
Multiply (1) by 5
5x + 5y = 425.......(1)
25x + 5y = 1145.....(2)
Take (1) from (2)
20x = 720
x = 36
Substitute x = 6 into:
x + y = 85
36 + y = 85
y = 85 - 36
y = 49
So, there are 36 quarters and
49 nickels.
Hope this helps:-)