# Kate has a summer job as a swim instructor to earn her college tuition.She gets paid $8 per hour for the first 40 hours and $12 per hour for each hour in the week worked over 40 hours.Kate's goal...

Kate has a summer job as a swim instructor to earn her college tuition.She gets paid $8 per hour for the first 40 hours and $12 per hour for each hour in the week worked over 40 hours.Kate's goal is to earn at least $380 per week.How many hours of overtime per week will she need to achieve her goal?

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Let x be the number of over time hours.

The working equation is:

8 (40) + 12 (x) = 380 Simplify 8 (40).

320 + 12x = 380 Move 320 to the other side to combine

12x = 380 - 320 similar terms then simplify.

12x = 60 Divide both sides by 12..

x = 5 hours

Therefore, she needs 5 hours more to achieve her goal.

She need $ 380 ,it means she has to work over time i.e. more 40 hours.

let she works y hours over.

i.e 8 x 40+12 x Y= 380

12 x Y=380-8 x 40= 380-320

12 Y= 60

Y=5 hours.

She has to work at least 5 hours per week.