Question

PLEASE HELP ASAP! 40 POINTS!

The talent show committee is anticipating selling 300 tickets to the talent show. They expect 180 adults to attend, and 120 children to attend. They hope to raise $1,440 from ticket sales to purchase classroom supplies. Adult tickets will be twice as expensive as child tickets. For what prices should the committee sell adult tickets and child tickets to the show?

Answer 1

X=200
Because that’s the right answer I think

Answer 2

Explanation:

The committee should sell adult tickets for $10 and child tickets for $5 to raise $1,440 from ticket sales.

Let x be the price of adult tickets in dollars and y be the price of child tickets in dollars. We can set up the following system of equations to represent the given information:

x + y = 300 (the total number of tickets sold)

180x + 120y = 1440 (the total amount of money raised)

x = 2y (the price of adult tickets is twice the price of child tickets)

Substituting the third equation into the first equation, we get:

2y + y = 300

3y = 300

y = 100

Substituting this value for y into the third equation, we get:

x = 2*100

x = 200

Substituting these values for x and y into the second equation, we get:

180200 + 120100 = 1440

This equation is true, so the solution x = $200 and y = $100 is valid. Therefore, the committee should sell adult tickets for $10 and child tickets for $5 to raise $1,440 from ticket sales.