Question

Set up a pair of equations and solve the following word problem.

In a certain freshman class, the number of girls(g) is 83 less than twice the number of boys (b). The total number of students in that freshman class is 259. How many boys and girls are in that class?

The number of girls: g =

The number of boys: b =

Answer 1

Answer:

g=145 b=114

Step-by-step explanation:

Set up an equation. Let x be boys. There are 83 less girls than 2 times the boys, so girls is

2x-83

But boys plus girls is a total of 259.

2x-83+x=259 (remember, boys is x)

solve that and you will get

2x-83+x=259

3x-83=259

3x=342

x=114

THE PROBLEM IS NOT OVER. We have found boys, so we just plug 2x-83 in to find girls.

2x-83

2(114)-83

228-83

145 girls

and 114 boys

I hope that helped!