Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

Ok so this is really just a guessing game, pick something you think works, for example, it says 3 more quarters than dimes right? I picked 10, ok so we got 10 dimes 3 more is 13 ok so 10 dimes and 13 quarters then it says twice as many nickels as quarters we got 13 ok so 13 times 2 is 26 so we add this up 10 dimes is $1.00 13 quarters is $3.25 and 26 nickels is $1.30 we can see right off the bat that this is not going to equal $4.65 so I picked a different number instead of 10 dimes I picked 8. 8 + 3 would be 11 quarters twice as many would be 22 nickles. so 8 dimes 11 quarter and 22 nickles. 8 dimes is 80 cents 11 quarters is $2.75 and 22 nickels is $1.10 ...80+2.75+1.10 = $4.65