SOLUTION: The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there all together?

Question 175562: The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all together, how many girls are there all together?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=# of girls and y=# of boys

Since "The number of girls at Sky High School is 60 greater than the number of boys", this tells us that

Because "there are 1250 students all together", this means

Start with the second equation.

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Subtract 60 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate y

Divide

Now that we know that (which means that there are 595 boys), we can plug this into to find (the number of girls)

Start with the first equation.

Plug in

Add

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Answer:

So the answer is and

This means that there are 655 girls and 595 boys

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