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Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per hour is less than the amount Hamish earns per hour. How much does each of them earn per hour? A. Hamish earns $18 per hour, and Harry earns $23 per hour. B. Hamish earns $19 per hour, and Harry earns $24 per hour. C. Hamish earns $21 per hour, and Harry earns $25 per hour. D. Hamish earns $20 per hour, and Harry earns $26 per hour.

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Answer:

D. Hamish earns $20 per hour, and Harry earns $26 per hour.

Step-by-step explanation:

Hamish and Harry work as plumbers. Harry earns a dollar more than 5/4 the amount Hamish earns per hour. The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour. How much does each of them earn per hour?

Hamish earnings per hour = x

Harry earnings = 1 + 5/4x

The amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour

Harry also earns = 7/5x - 2

Equate both Harry's earnings

1 + 5/4x = 7/5x - 2

Collect like terms

1 + 2 = 7/5x - 5/4x

3 = 28x-25x/20

3 = 3/20x

Divide both sides by 3/20

x = 3 ÷ 3/20

= 3 × 20/3

x = 20

Hamish earnings per hour = x

= $20

Substitute Harry's earnings into 7/5x - 2

= 7/5 × 20 - 2

= 28 - 2

= 26

Harry's earnings = $26

D. Hamish earns $20 per hour, and Harry earns $26 per hour.

Answer:

Harry earns $26 an hour

Hamish earns  $20 an hour

Step-by-step explanation:

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