High School

Lee worked a total of 30 hours at two jobs last week. Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store.

How many hours did she spend working in her aunt's store last week?

Answer :

Final answer:

Lee worked 10 hours at her aunt's store. We can determine this by creating two equations based on the information provided: x + y = 30 (total hours worked) and 9x + 6y = 240 (total earnings), where x is the hours at the movie theater and y the hours at her aunt's store. Solving these equations reveals that y equals 10 hours.

Explanation:

The question is asking us to solve for the number of hours Lee worked at her aunt's store, given that she worked a total of 30 hours at two jobs and her combined pay was $240. She earned $9 per hour at the movie theater and $6 per hour at her aunt's store.

Step-by-step Solution

  1. Let's designate the number of hours Lee worked at the movie theater as x and at her aunt's store as y.
  2. We know that x + y = 30 (since she worked a total of 30 hours).
  3. Also, she earned $240 total. Therefore, the equation based on her earnings will be 9x + 6y = 240.
  4. From equation 1, we can express y as y = 30 - x.
  5. Substitute y in equation 2 with the expression from equation 4, leading to: 9x + 6(30 - x) = 240.
  6. Solving for x gives us the equation 9x + 180 - 6x = 240, which simplifies to 3x = 60.
  7. Dividing both sides of the equation by 3 yields x = 20. This means Lee worked 20 hours at the movie theater.
  8. To find the hours worked at the aunt's store, we use y = 30 - x, which gives us y = 30 - 20 = 10.

Therefore, Lee worked 10 hours at her aunt's store

Answer:she spent 10 hours working in her aunt's store last week.

Step-by-step explanation:

Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

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