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Jill has $340 in her savings account and makes $12.50 an hour but can work no more than 40 hours a week. She only gets paid at the end of the week. How many weeks will it take her to have $850?

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JeanaShupp

Answer: 2 weeks

Step-by-step explanation:

Given: Amount in the saving account = $340

Hourly wage = $12.50

Maximum number of hours Jill can work =  40

Amount she can make by working 40 hours in a week = $ (40 x 12.50 )= $ 500

Let x be the number of weeks.

The according to the question , we have

[tex]500x+340\geq850\\\\\Rightarrow\ 500x \geq850-340\\\\\Rightarrow\ 500x \geq510\\\\\Rightarrow\ x \geq\dfrac{510}{500}\\\\\Rightarrow\ x \geq1.02[/tex]

i.e. x=2

So, it will take 2 weeks to have $850.

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