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? PLS DO IT QUICK

Respuesta :

Answer:

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Step-by-step explanation:

Let us represent:

The number of girls = g

The number of boys = b

Number of Adults = a

235 people are at RSM summer camp.

Hence,

g + b + a = 235 .......Equation 1

There are 35 more boys than girls, and 70 fewer adults than girls.

b = g + 35

a = g - 70

Hence we substitute g + 35 for b and g - 70 for a in Equation 1

g + b + a = 235 .......Equation 1

g + g + 35 + g - 70 = 235

3g + 35 - 70 = 235

3g - 35 = 235

3g = 235 + 35

3g = 270

g = 270/3

g = 90

Hence, there are 90 girls in the party.

Number of boys is calculated as:

b = g + 35

b = 90 + 35

b = 125

Number of Adults is calculated as:

a = g - 70

a = 90 - 70

a = 20

How many people of each group are at the camp?

Number of girls = 90

Number of boys = 125

Number of Adults = 20

Answer:

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

Step-by-step 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