The choices are missing but we can find the right equation from the given information
The equation that models this situation is 6 g + 10 m = 162
Step-by-step explanation:
The given is:
- Max earned a total of $162 working at two jobs
- He worked 6 hours at his grandfather's store
- He worked 10 hours at the local movie theater
- g represents the hourly rate paid by Max's grandfather, and m represents the hourly rate paid by the movie theater
We need to write an equation models this situation
∵ g represents the hourly rate paid by Max's grandfather
∵ He worked 6 hours at his grandfather's store
∴ He earned from his grandfather = 6 × g = 6 g dollars
∵ m represents the hourly rate paid by the movie theater
∵ He worked 10 hours at the local movie theater
∴ He earned from the local movie theater = 10 × m = 10 m dollars
Add 6 g and 10 m to find his total earning
∵ His total earning = 6 g + 10 m
∵ Max earned a total of $162
- Equate his total earning by 162
∴ 6 g + 10 m = 162
The equation that models this situation is 6 g + 10 m = 162
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