SOLUTION: please help me solve this problem: A stack of 20 coins contains only nickels and quarters and has a total value of $4. How many nickels are in the stack?

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Question 1116834: please help me solve this problem: A stack of 20 coins contains only nickels and quarters and has a total value of $4. How many nickels are in the stack?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the number of nickels. Let represent the number of quarters. Since there are 20 coins,



The number of cents in nickels, since there are 5 cents in each nickel, is . Similarly, the number of cents in quarters is .

Since $4 is 400 cents, we can say:



Solve the 2X2 system by any convenient means (I used the addition method, but substitution or Cramer's rule would work just as well).

John

My calculator said it, I believe it, that settles it