Question 1082648
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It is very standard problem.


<U>Solution #1</U>  (using a system of two equations)


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 a +    c = 124,    (1)    ("attendie" equation)
6a + 3.5c = 679.    (2)    {"value" equation)

Here, as you can guess, "a" stands for the number of adults and "c" stands for the number of children.


From (1), express a = 124-c, and substitute it into (2). You will get

6*(124-c) + 3.5c = 679.


This is a single equation for c.

If the data is correct, it has an integer solution.

You can solve it on your own.
Let it be an exercise to empower you brain.
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<U>Solution 2</U>  (Using one single equation)


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Let "c" be the number of children. 
Then the number of adult is (124-c).

Then you can write a "value equation

6*(124-c) + 3.5c = 679.


Notice that it coincides with the equation of the <U>Solution 1</U>.


Again, you can complete the solution on your own.
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Happy learning !!