Question

Stable High School has a total of 112 boys and girls who play sports. If the number of boys, b is 16 more than twice the number of girls, g, how many boys play sports at this high school?
Which system of equations would help you solve this problem?

b + g = 112
b = 2g + 16

b + g = 112
g = 2b + 16

b − g = 112
b = 2g − 16

None of the systems above would solve this problem.

Answer 1

72

Answer 2

I did this like 5 time to make sure im right. i came up with the first one everytime but i still think its wrong

Answer 3

(b + g) / 2 + 16 = 72

Answer 4

b = 2g + 16 yes thats correct

Answer 5

b + 16 = 2g is wrong

Answer 6

First, yes you did it correctly.
The statment
number of boys, b is 16 more than twice the number of girls, g,
translates as follows:
b is becomes b = (is translates to equal most of the time in these problems)
16 more than becomes 16+ (and 16 less than would be -16 +)
so we have b=16+ so far
twice the number of girls g becomes 2 times the number of girls, or 2g
so we finally get
b= 16+2g
And the only choice with this equation is the first choice

Answer 7

thank you both very much!

Answer 8

ok