SOLUTION: 840 stickers were given to 42 children. 2/3 of the children were boys, and each of them received the same number of stickers. Each girl received twice a many stickers as each boy.

Algebra.Com
Question 657439: 840 stickers were given to 42 children. 2/3 of the children were boys, and each of them received the same number of stickers. Each girl received twice a many stickers as each boy. How many stickers did each girl receive?
I do not have any idea where to even begin with this word problem....
the only concept I have in my head is

and that just looks completely wrong.

Found 4 solutions by htmentor, ewatrrr, solver91311, MathLover1:
Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
If there are 42 children, and 2/3 are boys, that means there are (2/3)42 = 28 boys and 14 girls
Let s = the number of stickers received by the boys
Then each girl received 2s stickers
We can write the following equation for the total number of stickers:
840 = 28s + 14(2s) = 56s
s = 840/56 = 15
So the boys got 15 stickers and the girls got 30 stickers

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
42 children, 2/3 of the children were boys ⇒ 28 boys and 14 girls
Each boy received the same number of stickers, girls
Question states***840 stickers
28x + 14·2x = 840
56x = 840
x = 15, number of tickets each boy had. Each girl had 30 tickets.
and...

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Sometimes appearances can be deceiving. However, that is NOT the case here. Your equation looks completely wrong for the most obvious of reasons; it is completely wrong. That fact leads us to the very best starting place: The beginning.

If there are 42 children and of them are boys, then there are boys; from which it should be obvious (since is half of ) that there are 14 girls.

Let represent the number of stickers each boy received, and then must be the number of stickers each girl received. Since there are 28 boys each of whom received stickers, the total number of stickers received by boys is . Similarly, the total number of stickers received by girls is . Then, since the sum of and is 1, we can be certain that there were no transgender people in the group of children (hey, you never know these days) so we can make the assertion that the number of stickers given to boys plus the number of stickers given to girls is equal to the total number of stickers given. So:



Solve for and then calculate

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given:
stickers
children; boys and girls
of the children were boys, and each of them received the same number of stickers
Each girl received twice a many stickers as each boy, which is
_________________________________
if children; boys and girls , then
........1
of the children were boys, then
...->... .->...
then ..->... .->...

then stickers is a sum of ...plug in values for boys and girls



...........the number of stickers that boys got
then
...........the number of stickers that each boy got
since girls got then they got stickers

check the sum of stickers







RELATED QUESTIONS

Hi Some sweets were distributed to a group of children. There were as many boys as there (answered by mccravyedwin,greenestamps,math_tutor2020)
A group of 30 children shared some stamps among themselves. 1/3 of the children received (answered by Edwin McCravy,MathTherapy)
There were 100 children at the birthday party. If 2/3 of them were girls, how many are... (answered by ikleyn)
A box of stickers was shared among four children. Faith and Ayan took {{{1/2}}} of the... (answered by greenestamps)
Hi 1/3 of the children were boys.when 20 boys left, the number of boys decreased to 1/4... (answered by josmiceli)
There were 30 children playing on the playground. 6 of them were boys. what percent of... (answered by Fombitz)
There were 100 children at the birthday party. If 3/5 of them were girls, how many are... (answered by ikleyn)
There were 28000 people at a football game. 9/14 of the people were adult men, 1/7 were... (answered by ankor@dixie-net.com)
3 children share some stickers. Andrew has 1/5 of the stickers. Blaze has 10 more... (answered by ikleyn)