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.
