Answered

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a
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can
hold a maximum of 110 people. The drama club must make a minimum of $700 from
ticket sales to cover the show's costs. If x represents the number of student tickets
sold and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.

Sagot :

roblesevamarin

Answer:

One possible answer would be they sold 80 student tickets and 30 adult tickets

Step-by-step explanation:

set up two inequalities, one to show number of tickets that can be sold, and the other is how much money they need to make

5x+10y G than or =  700

x+y L than or = 110

The first inequality shows that each student (x) ticket sells for $5, and each adult (y) ticket sells for $10, and the amound has to be greater or equal to 700.

The second inequality shows that both student and adult tickets sold have to be less than or equal to 110.

First find either x or y, in this case finding y was easier

y is g than or = to 30

This means that they sold at least 30 adult tickets= $300

With y, plug into the inequality x+y L than or = to 110 to find x

x is less than or = to 80

This means that they sold at most 80 student tickets = $400

Hope this helps!

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