Question

Dots sells a total of 266 T-shirts ($2) and shorts ($4). In April, total sales were $672.

How many T-shirts and shorts did Dots sell?

Answer 1

Dots sold 196 T-shirts and 70 shorts.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's start by assigning variables. Let T represent the number of T-shirts sold and S represent the number of shorts sold. From the information given, we know that the total number of T-shirts and shorts sold is 266, so we have the equation T + S = 266. We also know that the total sales in April were $672, with T-shirts costing $2 each and shorts costing $4 each, we can create the equation 2T + 4S = 672.

Now, we can solve this system of equations. We can multiply the first equation by 2 to get 2T + 2S = 532. Then, subtract this from the second equation to eliminate T, giving us 2T + 4S - 2T - 2S = 672 - 532. Simplifying, we get 2S = 140. Finally, dividing both sides by 2, we find that S = 70.

Substituting this value back into the first equation, we have T + 70 = 266. Subtracting 70 from both sides, we find T = 196.

Therefore, Dots sold 196 T-shirts and 70 shorts.

Answer 2

T-Shirts: 158
Shorts: 107