Question

Tickets to the concert were 2.50 for adults and $1 for students. $1200 was collected and 750 tickets were sold. Write a system of linear equations that can be used to find how many adults and how many students attended. How many students attended?

Answer 1

Explanation:

0 all triangles must add up to 180 degrees.

Answer 2

300 adults and 450 students

Explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 750 people attended, then s+a=750.

We also know they made $1200 and adult tickets cost $2.50 and student tickets cost $1. We can write 1s+2.5a=1200.

We will solve by substituting one equation into the other. We start by solving the first equation for c. s+a=750 becomes s=750-a.

Now we substitute s=750-a into 1s+2.5a=1200. Simplify and isolate the variable a.

• 1(750-a)+2.5a=1200
• 750-a+2.5a=1200
• 750+1.5a=1200
• 750-750+1.5a=1200-750
• 1.5a=450
• a=300

This means that 300 adults attended and 450 students attended since 300+450=750.