Question

3) You are selling raffle tickets. You sell tickets to adults and children. You sell a

total of 475 fickets. Edult tickets cost $3 per ticket and children tickets cost $2
per ticket. You eam a total of $1200. How many adult tickets and how many
children tickets were sold?

Answer 1

250 adults and 225 children

Answer 2

• 250 adult tickets and 225 children tickets

Explanation:

Let adult tickets be a and children tickets be c.

System of equations as per given:

• a + c = 475
• 3a + 2c = 1200

Substituting c in the second equation

• c = 475 - a
• 3a + 2(475 - a) = 1200
• 3a + 950 - 2a = 1200
• a = 1200 - 950
• a = 250

Then, finding c:

• c = 475 - 250 = 225

Answer:

• 250 adult tickets and 225 children tickets