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?

1. b + g = 112
b = 2g + 16

2. b + g = 112
g = 2b + 16

3. b − g = 112
b = 2g − 16

4. None of the systems above would solve this problem.

Answer 1

Number of boys = b
Number of girls = g

Number of girls is 16 more than twice number of boys
g=2b+16

112 boys and girls
b+g=112

Substitute the g:
b+2b+16=112
3b+16=112
3b=112-16
3b=94
b=96/3
b=32

Number of boys is 32
Number of girls is 112-32 = 80

Hope that makes good enough sense for you. :D

Answer 2

first
g = 32
b= 80

Answer 3

u guys r telling to different things idk which is rite
LOL

Answer 4

@binary3i is wrong

girls = 80

boys = 32

Answer 5

what number is it

Answer 6

you are wrong @ZhangYan

Answer 7

@ZhangYan is no of boys 16 greater than two times the no of girls.
you have written wrong

Answer 8

binary3i please i don't want to argue with you so....

Answer 9

sorry

Answer 10

@TuringTest can you check who is correct?

Answer 11

". If the number of boys, b is 16 more than twice the number of girls, g"
so binary is actually right
you reversed the statemnent

Answer 12

the number of boys, b is 16 more than twice the number of girls, g
b=2g+16

Answer 13

just a slight misreading of the problem; happens all the time
I'm off to class, later!

Answer 14

thank you @TuringTest

Answer 15

haha sorry about that i must unread correctly Btw i will give you a medal for my mistake :D

Answer 16

@ZhangYan you're explanation is sound though, so kudos to that :)

Answer 17

:D