Question

235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?

Answer 1

There are 90 girls, 125 boys, and 20 adults.

Explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer 2

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults + The number of girls

Therefore;

235 = The number of boys + The number of adults + The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35 = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys = 125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.