



 
Hi there. This is a question with three unknown amounts and three relationships between them. First you need to come up with the three equations. Let's say N = the number of nickels, D is dimes and Q is quarters. Then we know the total amount is $3.75, so
Also, the number of dimes is twice the number of nickels, so
Also, the number of quarters is three less than the number of nickels, so
Whenever you have three unknown amounts, you need three different equations if you want to be able to find the values of the unknowns. You have these. You can easily substitute the values for D and Q (from the second and third equations) into the first equation:
becomes
Now you can just solve for N and use that to find D and Q. Cheers,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 