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Expert replies
by dhiren8182 » Sun Sep 18, 2011 8:58 pm
Q:Matt gets a $1,000 commission on a big sale. This commission alone raises his average
commission by $150. If Matt's new average commission is $400, how many
sales has Matt made?

How to Solve this problem.
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Source: — Problem Solving |

by Anurag@Gurome » Sun Sep 18, 2011 9:14 pm
dhiren8182 wrote:Q:Matt gets a $1,000 commission on a big sale. This commission alone raises his average
commission by $150. If Matt's new average commission is $400, how many
sales has Matt made?

How to Solve this problem.

Solution:
Let the initial number of sales be n and the total sales on these n commissions be $x.
So, x/n = 400-150 = 250.
Also (x+1000)/(n+1) = 400.
Or x+1000 = 400n + 400
Or 250n + 1000 = 400n + 400
Or 600 = 150n
Or n = 4.
Or n+1 = 5
So, total number of sales = 5
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