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?

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(39631) (Show Source): You can put this solution on YOUR website!

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

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

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