A jar contains 267 quarters. One quarter is worth $\$ 0.25$. How many quarters must be added to the jar so that the total value of the quarters is $\$ 100.00$ ?
(A) 33
(B) 53
(C) 103
(D) 133
(E) 153
Solution 1

The value of 4 quarters is $\$ 1.00$.

Thus, the value of $4 \times 100=400$ quarters is $\$ 1.00 \times 100=\$ 100.00$.

Since the jar initially contains 267 quarters, then $400-267=133$ quarters must be added to the jar for the total value of the quarters to equal $\$ 100.00$.

## Solution 2

The value of 267 quarters is $\$ 0.25 \times 267=\$ 66.75$ and so $\$ 100.00-\$ 66.75=\$ 33.25$ must be added to the jar so that it contains $\$ 100.00$.

Thus, the number of quarters that must be added to the jar is $\frac{\$ 33.25}{\$ 0.25}=133$.

ANswer: (D)