Question

1. you buy 3 shirts and 3 pairs of pants for $45. your friend buys 1 shirt and 2 pairs of pants for $24. what is the cost of each shirt? of each pair of pants?

Explanation:

Step1: Define variables

Let \( s \) be the cost of one shirt (in dollars) and \( p \) be the cost of one pair of pants (in dollars).

Step2: Set up equations

From the first purchase: \( 3s + 3p = 45 \). We can simplify this by dividing both sides by 3: \( s + p = 15 \), so \( s = 15 - p \).
From the second purchase: \( s + 2p = 24 \).

Step3: Substitute \( s \) into the second equation

Substitute \( s = 15 - p \) into \( s + 2p = 24 \):
\( (15 - p) + 2p = 24 \)
Simplify: \( 15 + p = 24 \)
Subtract 15 from both sides: \( p = 24 - 15 = 9 \).

Step4: Find \( s \)

Substitute \( p = 9 \) into \( s = 15 - p \): \( s = 15 - 9 = 6 \).

Answer:

The cost of each shirt is \$6, and the cost of each pair of pants is \$9.