Problema Solution

The seating capacity of a theater is 375. Tickets are $3 for children and $5 for adults. The theater must take in at least $1500 per performance. Express this information as a system of inequalities.

Answer provided by our tutors

let


a = the number of adult tickets


c = the number of children tickets


The seating capacity of a theater is 375:


a + c <= 375


The theater must take in at least $1500 per performance:


5a + 3c >= 1500


the system of inequalities is:


a + c <= 375


5a + 3c >= 1500