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?

1 Answer
Aug 5, 2016

Answer:

80 boys play sport.

Explanation:

#b = "number of boys" and g = "number of girls"#

There are 112 students altogether.

#b + g = 112#

This can also be written as
#b = 112 - g" or as " g = 112 -b"#

It is very useful to have variables as the subject of the equation when working with simultaneous equations. This allows for easy substituting or equating.

A common mistake is to add to the boys and to multiply the boys by 2. There are more boys! - do not make them even more.

#b = 2g +16#

There are now 2 equations.

#b = 2g +16" "# and #" "b = 112 - g#

#b= b # therefore it follows:

#2g +16 = 112-g#

#3g = 112-16#
#3g = 96#

#g = 32#

#b= 80#