Question

Tyler High School has a total of 101 boys and girls who play sports. If the number of boys is 8 more than twice the number of girls, how many girls play sports at this high school?

A 23
B 31
C 70
D 80

Answer 1

Let b = number of boys
Let g = number of girls

total of 101 boys and girls who play sports
b + g = 101

the number of boys is 8 more than twice the number of girls
b = 2g + 8

Solve the system of equations:
b + g = 101
b = 2g + 8

Answer 2

@mathstudent55 so g=?

Answer 3

Since in hte second equation you see that b = 2g + 8, use the substitution method and replace b in the first equation by 2g + 8:
b + g = 101
2g + 8 + g = 101
3g + 8 = 101
3g = 93
g = 31

Answer 4

@mathstudent55 THank you SO MUCH! :)

Answer 5

yw