At the city museum, child admission is $5.80 and adult admission is $9.10. On Friday, four times as many adult tickets as child tickets were sold, for a total sales of $1223.80. How many child tickets were sold that day?

Question

Guest

Mathematics

15 January, 14:21

At the city museum, child admission is $5.80 and adult admission is $9.10. On Friday, four times as many adult tickets as child tickets were sold, for a total sales of $1223.80. How many child tickets were sold that day?

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Answers (2)

Know the Answer?

Steven Barr · Answer 1

29 children

Carlos Fleming · Answer 2

The answer to your question is: 29 children

Step-by-step explanation:

Data

child = c = $5.8

adult = a = $9.10

adults = 4 children

Process

9.1 a + 5.8 c = 1223.80

Substitution

9.1 (4c) + 5.8c = 1223.80

36.4 c + 5.8c = 1223.8

42.2c = 1223.8

c = 1223.8 / 42.2

c = 29

adults

adults = 4 (29)

adults = 116