SOLUTION: The total value of quarters and nickels in a jar = 7.70. If the nickels were quarters and the quarters were nickels, the toal value of coins would be 4.90. Find the number of nicke
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Question 172863: The total value of quarters and nickels in a jar = 7.70. If the nickels were quarters and the quarters were nickels, the toal value of coins would be 4.90. Find the number of nickels.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
let n be the number of nickels and q be the number of quarters
:
.05n+.25q=7.70
.05q+.25n=4.90---->.25n+.05q=4.90
:
mulitply 1st equation by -5
:
-.25n+-1.25q=-38.5..revised eq 1
.25n+ .05q=4.90
:
-1.2q=-33.6
:
quarters
:
.05n+.25(28)=7.70
:
.05n=.70
:
nickels
:
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