SOLUTION: Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in

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Question 1117780: Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour?
Found 2 solutions by ikleyn, Shin123:
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = the number of mushrooms she gathered in the first hour.


Then the number of mushrooms she gathered in the second hour is (x+7),


and the number of mushrooms she gathered in the third hour is (x+6). 


x + (x + 7) + (x + 6 ) = 37

3x + 13 = 37

3x = 37 - 13 = 24  ====>  x = 24%2F3 = 8.


From this point, complete the solution on your own.


Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B%28x%2B7%29%2B%28x%2B6%29=37
3x%2B13=37
3x=24
highlight%28x=8%29 8+6=14 8+7=15