A stereo salesman whose base pay plus commissions amounted to $37,625
last year earned a commission of 16.5% on each stereo sold. If each stereo
he sold cost $1500 and if his base pay was $33,170, how many stereos did
the salesman sell last year?
A. 17
B. 15
C. 18
D. 16
(APEX ANSWER) (you can answer anyways to rack up points but i mostly posted bc i dident see it when i looked for it)​

A stereo salesman whose base pay plus commissions amounted to 37625last year earned a commission of 165 on each stereo sold If each stereohe sold cost 1500 and class=

Respuesta :

Answer:

18

Step-by-step explanation:

thanks..

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Answer:

C. 18

Step-by-step explanation:

Let x represent number of stereos.

We have been given that a salesman sold each stereo for $1500. He earned a commission of 16.5% on each stereo sold.

The amount of commission earned on each stereo would be 16.5% of 1500.

[tex]1500\times \frac{16.5}{100}=15\times 16.5=247.5[/tex]

The amount of commission earned on x stereos would be [tex]247.5x[/tex].

We are told his base salary is $33,170, so total salary of salesman would be [tex]247.5x+33,170[/tex].

We are also given that last year he earned $37,625. We can represent this information in an equation as:

[tex]247.5x+33,170=37,625[/tex]

[tex]247.5x+33,170-33,170=37,625-33,170[/tex]

[tex]247.5x=4455[/tex]

[tex]\frac{247.5x}{247.5}=\frac{4455}{247.5}[/tex]

[tex]x=18[/tex]

Therefore, the salesman sold 18 stereos last year.