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Jayce bought 5 bath towels and returned 2 hand towels. His sister Jayna bought 3 bath

towels and returned 4 hand towels. Jayce paid a total of $124 and Jayna paid a total of

5b - 2h = 124

$24. The system of equations

models this situation, where b is the

3b - 4h = 24

price of a bath towel and h is the price of a hand towel. How much does each kind of

towel cost?

Respuesta :

adioabiola

Answer:

Bath towels = $32

Hand towels = $18

Step-by-step explanation:

Given:

5b - 2h = 124 (1)

3b - 4h = 24 (2)

Multiply (1) by 2 to eliminate h

10b - 4h = 228 (3)

3b - 4h = 24 (2)

Subtract (2) from (3)

10b - 3b = 248 - 24

7b = 224

b = 224 / 7

b = 32

Substitute b = 32 into (2)

3b - 4h = 24

3(32) - 4h = 24

96 - 4h = 24

-4h = 24 - 96

-4h = -72

h = -72 / -4

= 18

h = 18

Bath towels = $32

Hand towels = $18

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