Tyee is working two summer jobs, making $10 per hour washing cars and $6 per hour walking dogs. Last week Tyee worked twice as many hours walking dogs as he worked washing cars and earned a total of $88. Write a system of equations that could be used to determine the number of hours Tyee 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.
Question
Tyee is working two summer jobs, making 6 per hour walking dogs. Last week Tyee worked twice as many hours walking dogs as he worked washing cars and earned a total of $88. Write a system of equations that could be used to determine the number of hours Tyee 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.
Solution
Let's define:
C = the number of hours Tyee worked washing cars. D = the number of hours Tyee worked walking dogs.
From the problem, we know that Tyee worked twice as many hours walking dogs as he did washing cars. This can be written as:
D = 2C ...(Equation 1)
We also know that Tyee earned a total of 10 per hour washing cars and $6 per hour walking dogs. This can be written as:
10C + 6D = 88 ...(Equation 2)
So, the system of equations is:
D = 2C 10C + 6D = 88
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