Question

There were 25 students in an algebra class. if the number of girls is 10 more than half the number of boys, how many boys were in the class?

Answer 1

Let x represent the number of boys.
Then 1/2x + 10 represents the number of girls. (there are 10 more than half the number of boys)

We can set up a simple equation for this situation:

# of boys + # of girls = 25 students

so

x + (1/2x + 10) = 25
x + 1/2x + 10 = 25

1/2 = 0.5

x + 0.5x + 10 = 25
1.5x + 10 = 25
1.5x = 25 - 10
1.5x = 15
x = 15/1.5
x = 10

x = # of boys, so there are 10 boys in the class.

Good luck on your math!

-Jabba