Math CentralQuandaries & Queries


Question from miriam, a student:

a piggy bank contains $ 6.25 in nickels quarters and dimes.
there are 65 coins all together and there are four times as many nickels as quarters
find the number of coins of each kind


First of all I would work in cents rather than dollars. Hence the piggy bank contains 625 cents.

Suppose the number of nickels is n, the number of quarters is q and the number of dimes is d. Since a nickel is worth 5 cents, a quarter is worth 25 cents and a dime is worth 10 cents

5n + 25q + 10d = 625.

The problem contains enough information to construct two more equations. Solve the three equations for n, q and d.

If you need more help write back,

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS