jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. this time it ie all nickels and dimes. there are 5 times as many dimes and nickels and the value of the dime is $4.05 more than the value of the nickels. how many nickels and dimes does jamil have?

Solution:

There are 5x dimes and x nickels

0.1*5x-0.05x=4.05

x=9

So there are 45 dimes and 5 nickels