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?
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Question 164991: 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?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=# of boy seniors and y=# of girl seniors
Since there are 357 seniors, this means that
Subtract x from both sides to solve for y
Now the ratio 7:10 can be written as the fraction . Also, the ratio of x boys to y girls is . Since these two ratios are equivalent, this tells us that
Start with the previous ratio
Plug in
Cross multiply
Distribute.
Add to both sides.
Combine like terms on the left side.
Divide both sides by to isolate .
Reduce. So this means that there are 147 boys in the senior class
Go back to the previously isolated equation
Plug in
Subtract. So there are 210 girls in the senior class
===================================
Answer:
There are 147 boys and 210 girls in the senior class
Note: the ratio of 147 boys to 210 girls reduces to 7 boys to 10 girls
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