SOLUTION: please help me with this question it is a story problem and I apologize if its under the wrong heading: Four salespeople were sent into a particular region to find new stores

Question 82893This question is from textbook Algebra 1
: please help me with this question it is a story problem and I apologize if its under the wrong heading:

Four salespeople were sent into a particular region to find new stores to carry their product. If together, they found 50 new stores to carry their product, they would get a $500 bonus. Neil found twice as many stores a Gus. Gus found 4 fewer stores than Salvatore, and Salvatore found 4 more than Bonnie. Bonnie found 8 stores. Did each salesperson get the $500 bonus? This question is from textbook Algebra 1

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The way to work this problem is to start at the end of the problem statement and work your
way back to the front.
.
At the end of the problem you are told that Bonnie found 8 stores.
.
The next statement back tells you that Salvatore found 4 more stores than Bonnie. Since
Bonnie found 8 stores, Salvatore found 8 + 4 = 12 stores.
.
Then you are told that Gus found 4 stores less than Salvatore. So Gus found 12 - 4 or 8 stores,
the same number as Bonnie.
.
Finally you are told that Neil found twice as many stores as Gus. Since Gus found 8 stores,
that means that Neil found 2 times 8 or 16 stores.
.
This means that the total number of stores the four of them found was:
.
8 + 12 + 8 + 16
.
and since this sums to 44, the group did not qualify for the bonus because they did not
locate 50 new stores.
.
Hope this helps you to understand the problem.
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