Question

Jose is working two summer jobs making $10 per hour washing cars and nine dollars per hour walking dogs last week because I worked a total of 30 hours and earned a total of $122 write a system of equations that could be used to determine the out of the number of hours Jose worked washing cars this week and the number of hours he worked walking dogs this week.

Answer 1

`x+y=13\\10x+9y=122`

Jose worked on washing cars for 5 hours and on walking dogs for 8 hours.

Explanation:

Given that:

Jose works for two summer jobs.

Earnings per hour by the first job i.e. by washing cars = $10

Earnings per hour by the second job i.e. by walking dogs = $9

Total number of hours worked = 13 hours (30 hours does not give us proper answer, it must be 13)

Total money earned = $122

To find:

System of equations to find the number of hours that Jose worked on each job?

Solution:

Let number of hours worked on washing cars =
`x` hours

Let number of hours worked on walking dogs =
`y` hours

As per the question statement, we can write the following system of equations:

`x+y=13 ..... (1)\\10x+9y=122 ...... (2)`

Let us use the Elimination method to find the values of
`x` and
`y`.

Multiplying the equation (1) by 10 and then subtracting the equation (2) from it:

`y = 130 - 122 = 8\ hours`

Using the equation (1):

`x = 5` hours

Therefore, Jose worked on washing cars for 8 hours and on walking dogs for 5 hours.