SOLUTION: 561 students, girls are 15 more than twice the number of boys. how many girls are there and how many boys. this is not from a text book. I did it this way. 2x+15=561

Question 131553: 561 students, girls are 15 more than twice the number of boys.
how many girls are there and how many boys. this is not from a text book. I did it this way.
2x+15=561 but my answer did not seem right, there is something I am missing.
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The number of boys: b
The number of girls: g
There are 15 more girls than twice the number of boys:
Presuming that all 561 students are classified as either boys or girls (and I would say this seems like a reasonable presumption):

Take the expression developed for the number of girls in terms of the number of boys and substitute it:

Then solve for b:

So now we know that there are 182 boys. We can just subtract from 561 to get 379 girls, or double the number of boys and add 15 to get 379. Doing it both ways checks the answer.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of boys
= number of girls

-----------------------
Now rearrage the 2nd equation

add the equations

There are 182 boys and 379 girls
check:364

and

OK
RELATED QUESTIONS
there are 75 students there is 15 more girls than boys .How many girls and boys are... (answered by tommyt3rd)
there are 120 students. There is 2/3 more boys than girls. How many boys and how many... (answered by Cromlix,Alan3354,MathTherapy)
There are 250 students in class. The number of boys is 40 more than twice the number of... (answered by ewatrrr)
There are an equal number of boys and girls in a class. If there were 6 fewer boys and 6... (answered by ankor@dixie-net.com)
there are 3 more girls than boys in tom's clas, and the sum of girls and the boys is 41.... (answered by shweta)
There are 83 students in school. The number of boys is 31 less than 2 times the number of (answered by amarjeeth123)
The ratio of boys to girls in a class is 3:5. If the total number of students is 32, how... (answered by nerdybill)
a high school graduating class is made up of 455 students. there are 67 more girls than... (answered by josgarithmetic)
a high school graduating class is made up of 455 students. there are 67 more girls than... (answered by Cromlix)