Ty earns $14 an hour working on weekdays and $21 an hour working on weekends. If he wants to make at least $600 by working a total of 36 hours in a week, to the nearest hour, at least how many hours does he need work on the weekends?
Correct answer: E. 14
- A. 10
- B. 11
- C. 12
- D. 13
- E. 14
Explanation
To determine the minimum number of weekend hours Ty needs to work, set up equations based on the conditions: total hours are x + y = 36 and earnings are 14x + 21y ≥ 600. Substitute x = 36 - y into the earnings equation: 14(36 - y) + 21y ≥ 600 simplifies to 504 - 14y + 21y ≥ 600, leading to 7y ≥ 96. Solving for y gives y ≥ 13.7. Since y must be a whole number, Ty must work at least 14 hours on the weekends. Other options result in earnings less than $600, making them incorrect.
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