Question

dots sells a total of 241 t-shirts ($2) and shorts ($3). in april, total sales were $575. how many t-shirts and shorts did dots sell? hint: let s = shorts.

Answer 1

To find out how many t-shirts and shorts Dots sold, we set up a system of equations using the total number of items (241) and the total sales amount ($575). By representing the number of shorts with 's' and using substitution, we can solve for 's' and then find 't', the number of t-shirts.

Step-by-step explanation:

How to Determine the Number of T-Shirts and Shorts Sold by Dots

We are given a total sales value and the prices of t-shirts and shorts, so we can set up a system of equations to solve for the number of items sold. Let s represent the number of shorts sold by Dots and t represent the number of t-shirts. We have two equations based on the information provided:

1. The total number of t-shirts and shorts sold is 241: t + s = 241.
2. The total sales from these items are $575: 2t + 3s = 575.

To solve these equations, we can perform substitution or elimination. If we rearrange the first equation by solving for t (t = 241 - s), we can substitute this into the second equation to find the value of s. This would give us:

2(241 - s) + 3s = 575

Solving for s gives us the number of shorts sold, which can then be substituted back into the first equation to find t, the number of t-shirts sold. A step-by-step approach to these calculations will yield the exact numbers of each item that Dots sold in April.