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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?

Answer :

frika
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.

ashishdwivedilVT

Helen gathered 8 mushrooms in the first hour, 15 mushrooms in the second hour, 14 mushrooms in the third hour.

Let us assume she gathered x mushrooms in the first hour.

What is the sum of a variable and an integer?

If we have a variable x and an integer I, the sum will be x+I

She will gather x+7 mushrooms in the second hour.

She will gather x+6 mushrooms in the third hour.

According to the question,

Total mushrooms = 37

x+x+7+x+6 = 37

x =8.

Therefore, Helen gathered 8 mushrooms in the first hour, 15 mushrooms in the second hour, 14 mushrooms in the third hour.

To get more about such algebraic problems visit:

https://brainly.com/question/21405634

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