Question

Tyree is working two summer jobs, making $10 per hour washing cars and $6 per hour walking dogs. last week tyree worked twice as many hours walking dogs as he worked washing cars hours and earned a total of $88. write a system of equations that could be used to determine the number of hours tyree worked washing cars last week and the number of hours he worked walking dogs last week. define the variables that you use to write the system.

Answer 1

A system of equations to determine Tyree's working hours in two jobs could be y = 2x and 10x + 6y = 88. Variable x represents the hours washing cars and y represents hours walking dogs.

Step-by-step explanation:

The question poses a situation in which we need to write a system of equations to determine the number of hours Tyree worked at two different jobs.

We'll define variable x as the number of hours Tyree washed cars and variable y as the number of hours he walked dogs, with the given condition that he worked twice as many hours walking dogs as washing cars (y = 2x). The second equation comes from the total earnings, which were $88, using the given hourly rates (10x for car washing and 6y for dog walking).

The system of equations is:

y = 2x (hours relationship)

10x + 6y = 88 (earnings relationship)

To solve for x and y, substitute the first equation into the second to find the number of hours worked washing cars, and use that result to find the hours spent walking dogs.