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qwelly [4]
3 years ago
9

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 i

n the class?
Mathematics
1 answer:
Ilya [14]3 years ago
5 0
There are 25 students. 

Let g = girls, and b = boys

g = 1/2b + 10

g + b = 25

Plug in 1/2b + 10 for g

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

3/2b + 10 = 25

isolate the b, subtract 10 from both sides, and then multiply by 2/3

3/2b + 10 (-10) = 25 (-10) 

3/2b = 15

(3/2b)/(2/3) = 15(2/3)
b = 30/3
b = 10

Subtract 10 from 25 to get the number of girls

25 - 10 = 15

g = 15

There are 10 boys in the class.

hope this helps
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