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A dishwasher salesman whose base pay plus commissions amount to $30,605 last year earned a commission of 12.5% on each dishwasher sold. If each dishwasher he sold cost $1100 and if his base pay was $28,680, how much dishwashers did the salesman sell last year?

A. 13
B. 12
C. 11
D. 14

Respuesta :

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JeanaShupp

Answer: D. 14

Step-by-step explanation:

Given: The base pay of salesman = $28,680

The percent of commission on each dishwasher sold = 12.5% =0.125

The cost of each dishwasher sold = $1100

Then the equation models the situation to find the total earning (y) for total cost of dishwasher (x) is given by :-

[tex]y=28680+0.125x[/tex]

Since, The base pay plus commissions of sales man= $30,605

Then ,we have

[tex]30605 =28680+12.5x\\\\\Rightarrow\ 12.5x=1925\\\\\Rightarrow x=\frac{1925}{0.125}=15400[/tex]

Since,  cost of each dishwasher sold= $1100

Therefore, the number of dishwasher he sold = [tex]\frac{15400}{1100}=14[/tex]

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