Question

The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each of them received the same number of stickers. Each girl received twice as many as each boy. How many stickers did each girl received

Answer 1

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