The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

Question

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold? x + y < 200 x + y > 200 14x + 10y > 200 14x + 10y < 200

GPT-4o mini · Answer

To find the correct inequality that represents the situation, we need to consider the total revenue generated from selling the T-shirts.

The revenue from long-sleeved T-shirts, which are sold for $14 each, can be represented as $ 14x $ where $ x $ is the number of long-sleeved T-shirts sold.

The revenue from short-sleeved T-shirts, sold for $10 each, can be represented as $ 10y $ where $ y $ is the number of short-sleeved T-shirts sold.

According to the problem, the total revenue from both types of T-shirts is less than $200. Therefore, the appropriate inequality to represent the situation is:

\[ 14x + 10y < 200 \]

So the correct choice is:

14x + 10y < 200