Question

Each boy at summer camp is friends with 29 boys and 24 girls, and each girl at summer camp is friends with 18 boys and 32 girls. What is the ratio of boys to girls at summer camp?

Answer 1

Answer: Ratio BOYS: GIRLS = 3: 2

Therefore, The Ratio of BOYS: GIRLS at Summer Camp: 3: 2

Explanation:

• MAKE A PLAN:

Let the Number of BOYS be (b):

Number of GIRLS be (g):

We will use the given information to create equations and solve the boys' and girls' ratios.

• SOLVE THE PROBLEM:

(1) - Total Friendship Involving Boys:

29b

(2) - Total Friendship Involving Girls:

24b + 18g

(3) - Since Each Girl is Friends with Thirty-Two (32) Girls, Then we have:

32g = 2(24b + 18g)

(4) - Simplify the Equation:

32g = 48b + 36g

(5) - Rearrange the equation:

8g = 12b

(6) - Simplify the equation:

2g = 3b

• Draw the conclusion:

Therefore, The Ratio of BOYS: GIRLS at Summer Camp: 3: 2

I hope this helps you!