Math CentralQuandaries & Queries


Question from Amy, a parent:

Matt has 40 coins(nickels, dimes, and quarters). The total amount is $4.05. He has 7
more nickels than dimes. How many quarters does he have?


I can help get you started.

Suppose the number of nickels is n, the number of dimes is d and the number of quarters is q then you know that

n + d + q = 40.

The value of the dimes is 10n cents, the value of the nickels is 5n cents and the value of the quarters is 12q cents. The total os 405 cents. This gives you a second equation.

"He has 7 more nickels than dimes." this gives you a third equation.

Solve the equations for n, d and q.


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