A school dance has 228 students. There are 63 fewer girls than twice as many boys.

Question

How many boys and girls attended the dance?

Answer 1

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.

Answer 2

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"