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Gabby and Brea went shopping at Ciara's Clothing Goods. Gabby bought 2 shirts and 1 pair of shoes, and she spent $32. Brea bought 2 shirts and 3 pairs of shoes, and she spent $48. How much does it cost per shirt, and how much does each pair of shoes cost?

Respuesta :

The cost of one pair of shoes is $8.

The cost of one shirt is $12.

What are the linear equation that represent the question?

2a + b = 32 equation 1

2a + 3b = 48 equation 2

Where:

  • a = cost of 1 shirt
  • b = cost of one pair of shoes

What is the cost of one pair of shoes?

Subtract  equation 1 from  equation 2

2b = 16

b = 16/2

b = $8

What is the cost of one shirt?

Substitute for b in equation 1

2a + 8 = 32

2a = 32 - 8

2a = 24

a = 24 / 2

a = $12

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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