Which System of Inequalities could be used to solve the problem below?

A local theater has a maximum capacity of 1,000 people. For their latest production, adult tickets cost $25 and youth tickets cost $12.50. The theater must bring in more than $15,000 for the show to go on. How many of each ticket must be sold to save the show?

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absor201 absor201 · Answer 1 · 2020-01-20T16:47:37+01:00

a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.

Step-by-step explanation:

Given,

Price of one adult ticket = a = $25

Price of one youth ticket = y = $12.50

Maximum people that can be hold by theater = 1000

Therefore;

The maximum number of people can be 1000 or less than that.

[tex]a+y\leq 1000[/tex]

As they want to revenue to be more than 15,000 therefore,

[tex]25a+12.50y>15000[/tex]

a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.

Keywords: linear inequality, addition

Learn more about addition at:

#LearnwithBrainly

jadranm25 jadranm25 · Answer 2 · 2022-03-04T16:08:50+01:00

Answer:

a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.

Step-by-step explanation:

Given,

Price of one adult ticket = a = $25

Price of one youth ticket = y = $12.50

Maximum people that can be hold by theater = 1000

Therefore;

The maximum number of people can be 1000 or less than that.

As they want to revenue to be more than 15,000 therefore,

a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.

Keywords: linear inequality, addition

Learn more about addition at:

brainly.com/question/11203617

brainly.com/question/11253316

#LearnwithBrainly