SOLUTION: At the city museum, child admission is $5.30 and adult admission is $8.90. On Saturday, three times as many adult tickets as child tickets were sold, for a total sales of $800.00.

Question 1165074: At the city museum, child admission is $5.30 and adult admission is $8.90. On Saturday, three times as many adult tickets as child tickets were sold, for a total sales of $800.00. How many child tickets were sold that day?
Answer by greenestamps(13196) (Show Source): You can put this solution on YOUR website!

Group all the tickets sold into groups of 3 adult tickets and one child ticket. The cost of each such group of tickets is 3($8.90)+$5.30 = $26.70+$5.30 = $32.

The number of those groups of tickets that need to be sold to make $800 is 800/32 = 25.

Then, since each group consists of 3 adult tickets and one child ticket, the number of child tickets sold was 25.

For a formal algebraic setup....

x = # of child tickets at $5.30 each
3x = # of adult tickets at $8.90 each

Total sales were $800:

Solve using basic algebra....

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