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11 February, 07:53

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?

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  1. 11 February, 08:20
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    Let x be the amount of gathered mushrooms during first hour, then x

    +7 is the amount of gathered mashrooms during the second hour and x+6 - - during the third hour. In total it will be x + (x+7) + (x+6) that is equal to 37.

    3x+13=37, then 3x=24 and x=24:3=8

    During the first hour she gathered 8 mushrooms, 8+7=15 mushrooms she gathered during second hour and 8+6=14 she gathered during the third hour.
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