840 stickers were given to 42 children. ⅔ of the children were boys, and each of them received the same number of stickers. Each girl received twice as many stickers as each boy. How many stickers did each girl receive? Explain how you got your answer.

Sorry I posted again just that I didn't get a reply.

No problem! Let's break down the problem step by step.

First, we know that there are 42 children in total. Since 2/3 of the children are boys, we need to find out how many boys there are. To do this, we can calculate: 42 * 2/3.

42 * 2/3 = 28.

So, there are 28 boys and the remaining 14 children must be girls (42 - 28 = 14).

Next, we need to find out how many stickers each boy received. We're told that each boy received the same number of stickers, which we'll represent as 'b'. So, the total number of stickers for boys can be calculated as: 28 * b.

Now, we're also told that each girl received twice as many stickers as each boy. So, the number of stickers each girl received can be represented as '2b'. Since there are 14 girls, we can calculate the total number of stickers for girls as: 14 * 2b.

The total number of stickers given to all children is given as 840. So, we can set up an equation: 28b + 14 * 2b = 840.

Now, let's solve this equation to find the value of 'b'.

28b + 28b = 840
56b = 840
b = 840/56
b = 15

Now that we know the value of 'b' (the number of stickers each boy received), we can find the number of stickers each girl received. Since the girls received twice as many stickers as the boys, each girl received: 2b = 2 * 15 = 30 stickers.

Therefore, each girl received 30 stickers.

42x1/3=14

each girl received twice as many tickets or (2x)
14 girls(2x)=840
28x=840
x=30 per girl
15 per boy