A store had a sale on T-shirts. For every two T-shirts purchased at the regular price, a third T-shirt was bought for $\$ 1.00$. Twelve T-shirts were bought for $\$ 120.00$. What was the regular price for one T-shirt?
(A) $\$ 10.00$
(B) $\$ 13.50$
(C) $\$ 14.00$
(D) $\$ 14.50$
(E) $\$ 15.00$
A store had a sale on T-shirts. For every two T-shirts purchased at the regular price, a third T-shirt was bought for $\$ 1.00$. Twelve T-shirts were bought for $\$ 120.00$. What was the regular price for one T-shirt?
(A) $\$ 10.00$
(B) $\$ 13.50$
(C) $\$ 14.00$
(D) $\$ 14.50$
(E) $\$ 15.00$

## Solution

We will start this question by representing the regular price of one T-shirt as $x$ dollars. If a person bought a 'lot' of three T-shirts, they would thus pay $(2 x+1)$ dollars. Since the cost of twelve T-shirts is $\$ 120.00$, this implies that a single 'lot' would cost $\$ 30$. This allows us to write the equation, $2 x+1=30$ or $x=14.50$. The regular price of a T-shirt is $\$ 14.50$.

ANSWER: (D)