The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went to the theater for a concert and $1375 was collected. How many children and how many adults attended the concert

Question

Mathematics

Bethany Carpenter

18 November, 04:41

The admission fee of a theater is $2.50 for adults and $1.25 for children. On a certain day, 700 people went to the theater for a concert and $1375 was collected. How many children and how many adults attended the concert

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Answers (1)

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Alfredo Chandler · Answer 1

2.50a+1.25c=1375

-1.25 (a+c=700)

2.50a+1.25c=1375

+

-1.25a-1.25c=-875

1.25a=500

a=400

700-400=300

400 Adults

300 Students.

does this make sense?

1.25a and - 1.25a cancel each other out