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const2013 [10]
3 years ago
15

Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h

our 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.
Mathematics
1 answer:
monitta3 years ago
6 0

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.

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