Answer:
11 quarters.
Step-by-step explanation:
Let Rachna has n nickels, d dimes and q quarters in her piggy bank.
"She has $4.65 altogether".
0.05n + 0.10d + 0.25q = 4.65
By diving this equation by 0.05
n + 2d + 5q = 93 ---------(1)
"She has three more quarters than dimes"
q = d + 3
d = q - 3 -------(2)
" She has twice as many nickels as quarters"
n = 2q --------(3)
Now we replace the values of d from equation 2 to eqaution 1
n + 2(q - 3) + 5q = 93
n + 2q - 6 + 5q = 93
n + 7q = 93 + 6
n + 7q = 99 ------(4)
By replacing n = 2q in equation 4 from equation 3
2q + 7q = 99
9q = 99
q = 11
Therefore, there are 11 quarters in the piggy bank.
