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?

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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) About Me  (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 x=y%2B60


Because "there are 1250 students all together", this means x%2By=1250



x%2By=1250 Start with the second equation.


y%2B60%2By=1250 Plug in x=y%2B60 into the first equation. In other words, replace each x with y%2B60. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


2y%2B60=1250 Combine like terms on the left side


2y=1250-60Subtract 60 from both sides


2y=1190 Combine like terms on the right side


y=%281190%29%2F%282%29 Divide both sides by 2 to isolate y



y=595 Divide




Now that we know that y=595 (which means that there are 595 boys), we can plug this into x=y%2B60 to find x (the number of girls)



x=y%2B60 Start with the first equation.


x=595%2B60 Plug in y=595


x=655 Add


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Answer:


So the answer is x=655 and y=595


This means that there are 655 girls and 595 boys