Answer: each girl received 30 stickers.
Step-by-step explanation:
Let x represent the number of stickers that the boys received.
Let y represent the number of stickers that the girls received.
The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were
2/3 × 42 = 28
The number if girls would be
42 - 28 = 14
The total number of stickers that the school principal shared was 840. It means that
28x + 14y = 840- - - - - - - - -1
Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
28x + 14 × 2x = 840
28x + 28x = 840
56x = 840
x = 840/56
x = 15
y = 2x = 15 × 2
y = 30
