We appreciate your visit to A radio station is giving away tickets to a play They plan to give away tickets for seats that cost 10 and 20 They want. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
[tex]\left\{\begin{array}{l}x+y\ge 20\\ \\10x+20y\le 280\end{array} \right.[/tex]
Step-by-step explanation:
Let x be the number of $10 tickets the radio station gives away and y is the number of $20 tickets which the radio station gives away.
Number of tickets:
At least 20, so
[tex]x+y\ge 20[/tex]
Cost:
x tickets for $10 each cost $10x
y tickets for $20 each cost $20y
Total cost:
$(10x+20y)
The total cost of all the tickets they give away can be no more than $280, so
[tex]10x+20y\le 280[/tex]
We get the system of two inequalities:
[tex]\left\{\begin{array}{l}x+y\ge 20\\ \\10x+20y\le 280\end{array} \right.[/tex]
Thanks for taking the time to read A radio station is giving away tickets to a play They plan to give away tickets for seats that cost 10 and 20 They want. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
To solve the problem, set up a system of inequalities using x and y to represent the number of $10 and $20 tickets given away. Solve the system to get the possible values of x and y.
Explanation:
To solve this problem, let x be the number of $10 tickets and y be the number of $20 tickets given away. We can set up a system of inequalities to represent the given conditions:
10x + 20y ≥ 280 (total cost should be no more than $280)
x + y ≥ 20 (at least 20 tickets should be given away)
Solving this system of inequalities will give us the possible values of x and y that satisfy the conditions.
Learn more about Solving a system of inequalities here:
https://brainly.com/question/33908614
#SPJ11
