SOLUTION: At the city museum, child admission is $5.30 and adult admission is $9.00. On Saturday, 136 tickets were sold for a total sales of $913.20. How many child tickets were sold that da

Question 1082237: At the city museum, child admission is $5.30 and adult admission is $9.00. On Saturday, 136 tickets were sold for a total sales of $913.20. How many child tickets were sold that day?
Found 2 solutions by richwmiller, ikleyn:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
c+a=136
5.3*c+9*(a)=913.20
5.3*c+9*(136-c)=913.20
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Your equations are c + a = 136, (1) 5.30*c + 9.00*a = 913.20. (2) From equation (1), express a = 136 - c and substitute it into equation (2) replacing "a". You will get a single equation for "c": 5.30*c + 9*(136-c) = 913.20. Simplify and solve for "c", the number of children's tickets.

This method is called "the Substitution method".

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