Question

A school dance has 228 students. There are 63 fewer girls than twice as many boys.
How many boys and girls attended the dance?

Answers

Lena
For this problem let us assume that 'B' represents # of boys and 'G' represents # of girls

In the question we have been told that 'twice the # of boys' = 'twice the # of boys - 63' girls.

Total # of students = B + G
228= B + (2B-63)
228 = B + 2B - 63
228 = B - 63
228+63 = 3B
291 = 3B
291/3 = B
97 = B

So we now know that we have 97 boys.
In order to find out how many girls we have we simply subtract the # of boys from the total # of students:

G = 228-97
G = 131

Therefore, we have 131 girls and 97 boys.
Lena
Let me just correct the 2nd line I posted:
"In the question we have been told that 'twice the # of boys' = 'twice the # of boys - 63' girls. "

That is wrong. I meant to say:

"The # of girls = twice the # of boys-63"

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