Question

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?

Helen gathered
mushrooms in the first hour,
mushrooms in the second hour and
mushrooms in the third hour.

Answer 1

Helen gathered

8 mushrooms in the first hour,

15 mushrooms in the second hour and

14 mushrooms in the third hour.

Explanation:

Answer 2

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.

Explanation:

Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:

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

37 = 3*x + 13

3*x + 13 = 37

3*x = 37 - 13

3*x = 24

x = 24 / 3

x = 8

On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.