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| Math Central | Quandaries & Queries |
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Question from Jules, a student: Hi, I am a grade 12 learner, I was helping my brother on ratio in the grade 9 Textbook I found a question that I did not manage to solve, may you please help me to solve it, Thank you. 1a) If 2/3 of the boys and 3/4 of the girls at a party are dancing, what is the ratio of boys to girls, if all the dancing couples consist of a boy and girl? b) If the total number of the boys and girls of the party is 153, how many boys are at the party? |
Hi Jules,
Suppose that there are B boys at the party and G girls, thus when you get to part b) you know that
B + G = 153.
For part a) you know that the number of boys dancing is 2/3 B and the number of girls dancing is 3/4 G. But the number of boys dancing is equal to the number of girls dancing so
2/3 B = 3/4 G
or
8 B = 9 G.
Thus B/G = 9/8 of said as a ratio
B:G = 9:8.
I hope this helps,
Penny
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