SOLUTION: A salesman receives $25 for every vacuum cleaner he sells. If he sells more than 10 vacuum cleaners, he will receive an additional $1.75 for each successive sale until he is paid

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Question 1176729: A salesman receives $25 for every vacuum cleaner he sells. If he sells more than 10 vacuum cleaners, he will
receive an additional $1.75 for each successive sale until he is paid a maximum of $46 per vacuum cleaner. How
many must he sell to reach this maximum?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The number of dollars he receives for selling the x-th vacuum cleaner after the first 10 is 25+1.75x. Solve the equation

25+1.75x = 46

to find the number of vacuum cleaners he needs to sell after the first 10 to reach the maximum.

Then remember the answer to the question is the total number of vacuum cleaners he needs to sell to reach the maximum; that answer is not just x, it is x+10.