SOLUTION: There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class? 210 147 117 107

Algebra.Com
Question 171811: There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class?
210
147
117
107
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let x=# of boys and y=# of girls

Because "There are 357 seniors", this means that . Solving for "y", we get


Since "The ratio of boys to girls is 7:10", this tells us that we have the ratio:




Start with the given equation


Plug in


Cross multiply


Distribute.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Divide both sides by to isolate .


Reduce. So there are 147 boys


Go back to the isolated equation


Plug in


Subtract. So there are 210 girls


----------------------------------------------------------------------

Answer:

So there are 147 boys and 210 girls
RELATED QUESTIONS

There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many (answered by jim_thompson5910)
There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many (answered by stanbon)
There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many (answered by edjones)
There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many (answered by algebrahouse.com)
there are 357 seniors in harris highschool. The ratio of boys to girls is 7:10. How many... (answered by ikleyn)
The ratio of girls to boys in a class is 9 : 7. If there are 10 more girls than boys, how (answered by ewatrrr)
the ratio of boys to girls in a class is 2:3. there are 10 boys in the class. how many... (answered by ptaylor)
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)