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In a party, 2/3 of the girls and 1/2 of the boys drank fruit juice. If 18 boys drank fruit juice and 3/4 of the children that drank fruit juice were girls, how many children were at the party?

 Nov 1, 2021
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Let the number of girls ==G

Let the number of boys ==B

 

1/2B == 18

3/4*[2/3G  +  1/2B] ==G, solve for B, G

 

Use substitution to get:

B ==36,  G==27

 

36  +  27 ==63 - number of children at the party.

 Nov 1, 2021

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