Question

Your school drama club is putting on a play next month. By selling tickets for the play, the club hopes to raise $600 for the drama fund for new costumes, scripts, and scenery for future plays. Let x represent the number of adult tickets they sell at $8 each, and let y represent the number of student tickets they sell at $5 each. a) 8x+5y=600

b) 8x−5y=600
c) 8x+5y=60
d) 5x+8y=600

Answer 1

The student's question involves choosing the correct linear equation to represent the sale of adult and student tickets for a school play, aiming to raise $600. The correct equation is option (a) 8x + 5y = 600, which includes $8 per adult ticket and $5 per student ticket.

Step-by-step explanation:

The scenario described involves the school drama club selling adult tickets at $8 each and student tickets at $5 each, with the aim of raising $600 for the drama fund. The corresponding linear equation will relate the number of adult tickets (x) and student tickets (y) to the total amount of money raised ($600). In this case, the correct linear equation must account for the different ticket prices and the total goal. Each adult ticket contributes $8 towards the target and each student ticket $5.

So, the correct equation to represent the total amount raised from ticket sales is 8x + 5y = 600, which indicates that 8 times the number of adult tickets sold plus 5 times the number of student tickets sold equals $600. Among the provided options, the one that accurately represents this relationship is option (a) 8x + 5y = 600. The other options either have incorrect coefficients or incorrect arithmetic signs.