Jose is shopping for new T-shirts and jeans. T-shirts cost $10.50 each and Jeans cost $24.50 each. He buys a variety of T-shirts and jeans Jeans and spends $140. Write a two-variable equation to represent this situation. let x =number of T-shirts bought and y = the number of jeans bought.

Answer 1

To represent the situation, we can formulate the two-variable equation based on the costs of T-shirts and jeans.

Let:

• \( x \) = number of T-shirts bought
• \( y \) = number of jeans bought

The cost of T-shirts is $10.50 each, so the total cost for T-shirts is \( 10.50x \). The cost of jeans is $24.50 each, so the total cost for jeans is \( 24.50y \).

Since Jose spends a total of $140 on T-shirts and jeans, we can represent this situation with the following equation:

\[ 10.50x + 24.50y = 140 \]

This is the two-variable equation that represents the given situation.