Answer:
Jose worked on washing cars for 5 hours and on walking dogs for 8 hours.
Step-by-step 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 = hours
Let number of hours worked on walking dogs = hours
As per the question statement, we can write the following system of equations:
Let us use the Elimination method to find the values of and .
Multiplying the equation (1) by 10 and then subtracting the equation (2) from it:
Using the equation (1):
hours
Therefore, <em>Jose worked on washing cars for 8 hours and on walking dogs for 5 hours</em>.