Question 1054973
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The admission to a barrio entertainment was $0.50 for adults and $0.25 for children. The total receipts for 150 tickets amounted $62.50. 
Find the number of adults and children admitted.
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<U>Solution 1</U>. System of two equations


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    a +     c = 150,     (1)
0.50a + 0.25c = 62.50.   (2)

You can simplify it:

  a +   c = 150,         (1')
50a + 25c = 6250.        (2')

Express  c = 150 - a  from (1) and substitute into (2). You will get

50a + 25(150-a) = 6250   (3)   (one equation for one unknown "a").

The rest is just arithmetic.
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<U>Solution 2</U>.  One equation


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Let "a" be the number of adults.
Then the number of child admissions is 150-a.

The "value equation" is 

50a + 25*(150-a) = 6250   (exactly as the equation (3) in the <U>Solution 1</U> above.

The rest is just arithmetic.
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