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31 December, 11:40

Sue a tollbooth worker is paid $12.50 per hour between 8 Am and 4 pm. After 4 pm she is paid $14.25 per hour. If Sue works from 10 am to 6 pm one particular day how much money does she earn that day?

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  1. 31 December, 14:34
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    She earns that day $103.5

    Step-by-step explanation:

    Lets explain how to solve the question

    - She is paid $12.50 per hour between 8 am and 4 pm

    - After 4 pm she is paid $14.25 per hour

    - She works one particular day from 10 am to 6 pm

    * Lets distribute her time of work into two part according to her

    payment above

    # 1st part from 10 am to 4 pm

    ∵ She is paid $12.50 per hour between 8 am to 4 pm

    ∵ She works from 10 am to 4 pm

    - Calculate how many hours between 10 am and 4 pm

    ∵ am and pm not like terms in time, so change the time to 24-hours

    ∵ 4 pm in 24-hour time is 4 + 12 = 16

    ∴ She works form 10 to 16

    ∴ She works for 6 hours (16 - 10 = 6)

    ∴ She is paid = 12.50 * 6 = $75

    # 2nd part after 4 pm to 6 pm

    ∵ She is paid $14.25 per hour after 4 pm

    ∵ She works from 4 pm to 6 pm

    - Calculate how many hours between 4 pm and 6 pm

    ∵ Both times are pm

    ∴ She works for 2 hours (6 - 4 = 2)

    ∴ She is paid = 14.25 * 2 = $28.5

    - Add the two answers of the 1st part and the 2nd part

    ∴ She earns = 75 + 28.5 = $103.5

    * She earns that day $103.5
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