SOLUTION: Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for each vacuum cleaner he sells, he earns an additional amount that equals 65% of th

Algebra ->  Equations -> SOLUTION: Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for each vacuum cleaner he sells, he earns an additional amount that equals 65% of th      Log On


   

Question 1136631: Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for each vacuum cleaner he sells, he earns an additional amount that equals 65% of the price of the vacuum cleaner. To answer the following questions, use a model where S is Ezra’s total salary and v is the total dollar amount of his vacuum cleaner sales.
A. What is the dollar amount of sales in vacuum cleaners Ezra will need to make in a year if he wants to earn $45,000? Round to the nearest cent. (2 decimal places)
B. If vacuums are sold for $200 each, how many vacuum cleaners would Ezra need to sell in a year to make $45,000? Round to the nearest vacuum cleaner.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+S+=+25000+%2B+.65v+
(a)
+45000+=+25000+%2B+.65v+
+.65v+=+20000+
+v+=+30769.23+
$30,769.23 in sales
(b)
Let +n+ = number of vacuums sold
+200n+=+v+
+.65v+=+20000+
+.65%2A200n+=+20000+
+.65n+=+100+
+n+=+100%2F.65+
+n+=+153.85+
He needs to sell 154 vacuums
( can't sell part of a vacuum )
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check the math