Question

Dots sells T-shirts for $2 and shorts for $3. In April, total sales were $576. People bought 3 times as many T-shirts as shorts.   How many T-shirts and shorts did Dots sell?

Answer 1

To determine the number of T-shirts and shorts sold, two equations were set up: t = 3s, and 2t + 3s = 576. Solving these simultaneously revealed that Dots sold 64 shorts and 192 T-shirts in April.

Step-by-step explanation:

How to Calculate the Number of T-shirts and Shorts Sold

To solve this problem, we need to set up two equations based on the information given. Let's denote the number of shorts sold as s and the number of T-shirts sold as t. We are told that people bought 3 times as many T-shirts as shorts, giving us the equation t = 3s. We also know that the total sales were $576, and T-shirts are $2 each and shorts are $3 each, leading to the equation 2t + 3s = 576. Using substitution, we can solve for s.

First, from the equation t = 3s, we substitute t in the second equation with 3s to get 2(3s) + 3s = 576, which simplifies to 6s + 3s = 576. Combining like terms, we get 9s = 576. Dividing both sides by 9, we find that s = 64. Now we can solve for t by substituting s back into the equation t = 3s, giving us t = 3(64) which is t = 192.

Therefore, Dots sold 64 shorts and 192 T-shirts in April.

Answer 2

So here is how we are going to find the answer.
Given that T = $2 and S = $3 and the total amount is $576.
Since people bought 3 times as many T-shirts as shorts, we can say that S = 3 (T)
Therefore: T + 3 (T) = 576
4T = 576
T= $144
S = 3 (T)
S = 3 (144)
S = $432

Now that we have the total amount of each items, we will divide them with the corresponding price.
T = $2, 144 divided by 2 and we get 72. Therefore, 72 T-shirts were sold.
S = $3, So, 432 divided by 3, and we get 144. Therefore, 144 shorts were sold.
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