Question

One day for plumbers in five helpers earned $350. At the same rate of pay, another group of five plumbers and six helpers earned $430 how much does a plumber and how much does a helper earn each day

Answer 1

Answer: a plumber earns $50 each day and a helper earns $30 each day.

Step-by-step explanation:

Let x represent the amount that a plumber earns in a day.

Let y represent the amount that a helper earns in a day.

One day, four plumbers and five helpers earned $350. This means that

4x + 5y = 350 - - - - - - - - - - -1

At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that

5x + 6y = 430 - - - - - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 25y = 1750

20x + 24y = 1720

Subtracting, it becomes

y = 30

Substituting y = 30 into equation 1, it becomes

4x + 5 × 30 = 350

4x + 150 = 350

4x = 350 - 150

4x = 200

x = 200/4 = 50