SOLUTION: The ratio of kids to adult at a school festival is 11:7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival? I tried doing

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Question 1148041: The ratio of kids to adult at a school festival is 11:7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?

I tried doing it this way
11/7 = 810/×
I then get 5670/11
My final answer is 515.45
It's wrong please help me find my error
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
Let the number of adults is x.


Then the number of kids is (810-x).


The ratio of kids to adults is


     = .


It is your basic equation, which you get from the condition.


To solve it, cross multiply; then simplify


    7*(810-x) = 11x

    7*810 - 7x = 11x

    7*810 = 11x + 7x

    7*810 = 18x


    x =  = 315.          ANSWER

Solved.


Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Be sure to read the question carefully. The way you set up the problem, the number of kids at the festival was 810. But the problem says 810 is the total number of kids and adults.

There are many ways to set up the problem for solving. I would use a different approach than the other tutor. It's not a "better" way; it's just a way that works best for me. And it is another option for you; use whichever method you like.

The ratio of kids to adults is 11:7, so 11/18 of the people are kids and 7/18 are adults. Then the number of adults is
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