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From June to the end of September, Jennifer wants to save at least $1,500. Her monthly expenses are $600. Jennifer saves whatever money she has left after paying her expenses each month. Jennifer is scheduled to work 80 hours in September. Find the minimum sales she needs in September to meet her goal of saving at least $1,500.

Respuesta :

The minimum sales required by Jennifer to meet her savings goal must be $26.25 per hour or $2100 for September.

Given that,

Savings desired = $1500

Monthly expenses = $600

Let money earned by her every hour be [tex]x[/tex]

No. of scheduled work hours [tex]=[/tex] [tex]80[/tex]

So,

Total money earned for the month [tex]=[/tex] [tex]80[/tex] × [tex]x[/tex]

[tex]= 80x[/tex]

As we know,

Money left = Total money earned - expenses

[tex]= 80x[/tex] - [tex]$600[/tex] ...(i)

A.T.Q.

Money left must be = $1500

Then, by putting the variables in equation (i), we get

[tex]80x - 600 = 1500[/tex]

Now, solving for  [tex]x[/tex]

[tex]80x - 600 = 1500[/tex]

        [tex]+600 = + 600[/tex]

_______________

[tex]80x = 2100[/tex]

[tex]x = 2100/80[/tex]

∵ [tex]x = 26.25[/tex]

Thus, the required sales are $ [tex]26.25[/tex] per hour or ( [tex]26.25[/tex] × [tex]80[/tex] = $2100) for the month of September.

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