Question

Paolo earns twenty dollars per house as a mason and twenty five dollars per hour as a painter.Last week he worked both jobs for a total of thirty hours and earned a total of six hundred and seventy five dollars.How long did paolo work as a painter

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Paolo:

mason = $20 / house

painter = $25 / house

Step 02:

system of equations:

x = hours (mason)

y = hours (painter)

x + y = 30 eq. 1

20x + 25y = 675 eq.2

eq.1

x = 30 - y

eq.2

20(30 - y) + 25y = 675

600 - 20y + 25y = 675

5y = 675 - 600

y = 75 / 5

y = 15

eq.1

x = 30 - 15

x = 15

The answer is:

15 hours