Question

A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?

A.
5 T-shirts

B.
35 T-shirts

C.
110 T-shirts

D.
185 T-shirts

Answer 1

Let \( y \) represent the number of youth-sized T-shirts sold, and \( a \) represent the number of adult-sized T-shirts sold. We can set up the following system of equations based on the information given:

1. The total number of T-shirts sold:
\[
y + a = 220
\]

2. The total revenue from selling the T-shirts:
\[
10y + 15a = 2375
\]

Now, we can solve this system of equations.

First, we can use the first equation to express \( y \) in terms of \( a \):
\[
y = 220 - a
\]

Next, we substitute this expression for \( y \) into the second equation:
\[
10(220 - a) + 15a = 2375
\]

Now, distribute \( 10 \):
\[
2200 - 10a + 15a = 2375
\]

Combine like terms:
\[
2200 + 5a = 2375
\]

Now, subtract \( 2200 \) from both sides:
\[
5a = 175
\]

Now, divide by \( 5 \):
\[
a = 35
\]

Thus, the number of adult-sized T-shirts sold is \( \boxed{35} \).