The ratio of boys to girls at camp is 3 to 5. If there are 80 fewer boys than girls, how many kids are at the camp?

Answer 1

Let B = number of boys

G = number of girls

T = Total number of kids

Then,

Number of boys B = (3/8)T

Number of girls G = (5/8)T

But, B + G = T and B = G - 80

So, G-80 + G = G/(5/8) = (8/5)G or 5G - 400 + 5G = 8G or 2G = 400

Therefore,

Number of Girls G = 200

Number of Boys B = 120