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Olegator [25]
3 years ago
8

Lucy and Ethel’s favorite store was having a sale. Lucy bought 10 shirts and 4 pairs of jeans and spent $280. Sabrina bought 12

shirts and 5 pairs of jeans and spent $344.
Assuming that each shirt was the same price, and each pair of jeans was the same price, how much did each shirt and each pair of jeans cost? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Each shirt costs 12 dollars.

Each pair of pants cost 40 dollars.

Step-by-step explanation:

<u>Let x represent the shirts </u>

<u>Let y represent the pair of jeans</u>

10x + 4y = $280

12x + 5y = $344

<u>Use elimination method to eliminate y</u>

• Multiply the entire first equation by 5.

• Multiply the second entire equation by -4.

5(10x +4y = $280)

-4(12x + 5y = $344)

50x + 20y = 1400

-48x -20y = -1376

2x = 24

x = 12

Each shirt costs 12 dollars.

<u>Solve for how much each pair of jeans costs.</u>

10(12) + 4y = 280

120 + 4y = 280

4y = 160

y = 40


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