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?

Question

dmb1215 · Answer

ok if we to make a equation out of this what would it look like

anonymous · Answer

Lets call the total amount of money 't', the nickles 'n', the dimes 'd' and the quarters 'q':

We know that: $$0.05n+0.10d+0.25q=4.65$$We also know: $$d+3=q$$ and $$n=2q$$

From there you can solve by back substitution.