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Lynn works as a bus driver.
She is paid £10.80 per hour for the first 38 hours she works each week.
She is paid 25% more per hour for each extra hour she works.
One week, Lynn was paid £491.40
In total, how many hours did she work that week?
You must show your working.

Lynn works as a bus driver She is paid 1080 per hour for the first 38 hours she works each week She is paid 25 more per hour for each extra hour she works One class=

Respuesta :

semsee45

Answer:

44 hours

Step-by-step explanation:

Base salary per week:  10.80 x 38 = £410.40

Overtime rate:

10.80 x 1.25 = £13.50 per hour

Let [tex]x[/tex] be the number of hours overtime Lynn worked.

410.40 + 13.5[tex]x[/tex] = 491.40

              13.5[tex]x[/tex] = 491.40 - 410.40 = 81

                     [tex]x[/tex] = 81 ÷ 13.5 = 6

So total number of hours worked = 38 + 6 = 44

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