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?

a. 8
b. 11
c. 22
d. 41

For this case we have the following variables:

x: number of nickels

y: number of dimes

z: number of quarters

We now write the system of equations that models the problem:

Rewriting the equations as a function of z we have:

From here, we clear the value of z:

The number of quarters that Rachna has is:

B. 11