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Carina had some stickers. 2/3 of them were dinosaur stickers and the rest were flower stickers. She divided the dinosaur stickers equally among some boys such that each boy received 1/10 of the stickers. She divided the flower stickers equally among some girls such that each girl received 1/5 of the stickers.

(a) How many boys were there?

(b) How many girls were there?

 Apr 3, 2022
 #1
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There are infinite number of solutions to your problem as stated! The only condition is that the number of boys will ALWAYS be twice the number of girls. So, if there are 5 girls, there must be 10 boys.......and so on.

 

For Example:

Let the number of  stickers==S

Let the number of boys ==B 

Let the number of girls ==G

 

[2/3 S] / B ==[1/3 S] / G

[2/3 S] / 10 ==[1/3 S] / 5, solve for S

 

ALL values of S are solutions to your problem. Ckeck your question carefully to make sure that it is stated correctly.

 Apr 3, 2022
 #2
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Let x = number of boys

Let y = number of girls 

Let s = number of stickers

 

2/3s/x = 1/10 (2/3 s)

x = 10 (2/3) (3/2)

x = 10 boys 

s/3/y = 1/5 (s/3)

y = 5 (3) (1/3)

y = 5 girls

 Apr 3, 2022

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