Question

A clothing store is having a sale on shirts and jeans. Five shirts and 3 pairs of jeans cost $220. Six shirts and 2 pairs of jeans cost $200. How much is the cost of one shirt? How much is the cost of one pair of jeans? a. Shirt cost: $30, Jeans cost: $40 b. Shirt cost: $40, Jeans cost: $20 c. Shirt cost: $20, Jeans cost: $40 d. Shirt cost: $30, Jeans cost: $20

Answer 1

The solution to the problem involves setting up and solving a system of linear equations. After this process, we find that the cost of one shirt is $20 and the cost of one pair of jeans is $40.

Step-by-step explanation:

The question is about solving a system of linear equations. In this case, we have:

1. 5s + 3j = $220 - This means that 5 shirts and 3 pairs of jeans cost $220
2. 6s + 2j = $200 - This means that 6 shirts and 2 pairs of jeans cost $200

If you multiply the second equation by 1.5, and subtract the first equation from it, you get:

9s + 3j = $300

Subtracting the equations:

9s - 5s = $300 - $220

This gives us 4s = $80 and therefore each shirt, s, costs $20 when divided.

To then find the cost of the jeans, j, substitute the cost of the shirt, $20, into the first equation:

5($20) + 3j = $220

Simplify to find that j, or the cost of each pair of jeans, is $40.

So, the cost of one shirt is $20 and the cost of one pair of jeans is $40.

Learn more about Solving System of Linear Equations