Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $750 per week. What were her sales last week if her total earning for the week were 1076.25

Respuesta :

Answer:

Last week her sales was [tex]\$4209.68[/tex].

Step-by-step explanation:

Given: Danielle earns a [tex]7.75\%[/tex] commission on everything she sells at the electronics store where she works. She also earns a base salary of [tex]\$750[/tex] per week.

To find: What were her sales last week, if her total earning for the week were [tex]\$ 1076.25[/tex].

Solution:

We have,

Danielle earns a [tex]7.75\%[/tex] commission on everything she sells.

Let the sale made by her be [tex]\$x[/tex].

Her total earning for the week were [tex]\$ 1076.25[/tex].

She also earns a base salary of [tex]\$750[/tex] per week.

Therefore, the commission earned for the week [tex]=1076.25-750=\$326.25[/tex]

Now, as per question,

[tex]\frac{7.75}{100} \times x=326.25[/tex]

[tex]\implies x=\frac{326.25\times100}{7.75}[/tex]

[tex]\implies x=\frac{3262500}{775}[/tex]

[tex]\implies x=4209.68[/tex]

Hence, last week her sales was [tex]\$4209.68[/tex].

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