A radio station is giving away tickets to a play

Asked by maham237 @ in Mathematics viewed by 275 People

give away tickets for seats that cost $10 and $20. They want to
give away at least 20 tickets. The total cost of all the tickets
they give away can be no more than $280.

Answered by maham237 @


Answer:

\left\{\begin{array}{l}x+y\ge 20\\ \\10x+20y\le 280\end{array} \right.

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

x+y\ge 20

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

10x+20y\le 280

We get the system of two inequalities:

\left\{\begin{array}{l}x+y\ge 20\\ \\10x+20y\le 280\end{array} \right.


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