Question

Dots sells t-shirts ($2) and shorts ($4). In April total sales were $456. People bought 4 times as many t-shirts as shorts. How many t-shirts and shorts did Dots sell? Plz answer helpfully step by step.

Answer 1

Answer:

Shorts: 38

T-Shirts: 152

Step-by-Step

The number of shorts sold can be written as (s) and the number of t-shirts sold can be written as (t)

We know that shirts are $2, and shorts are $4, and the total sales were $456, so the following equation can help us to find the answer, since if we add up the money from shirts and the money from shorts we’ll get the total sales.

4s + 2t = 456

Next, we know that shirts were bought 4 times more than shorts, so we can also write the following equation:

4s = t

Now, since we have a defined “value” for t

(t = 4s), we can substitute this value into the first equation.

4s+ 2(4s) = 456,

4s + 8s = 456,

12s = 456

s = 38

Now we can use this value in the second equation, and solve for t

4s = t

4(38) = t

152 = t