Question

Mrs. Anderson bought 12 tickets to the local fair and spent $72. She bought child tickets for $4 each and she bought adult tickets for $7 each. How many adult tickets did she buy?

Answer 1

To find the number of adult tickets Mrs. Anderson bought, we can set up the problem as an equation. By solving the set of equations, we deduce that Mrs. Anderson bought 8 adult tickets.

Step-by-step explanation:

To find the number of adult tickets Mrs. Anderson bought, we can set up the problem as an equation. Let's use 'a' to represent the number of adult tickets and 'c' to represent the number of child tickets. We know that Mrs. Anderson bought 12 tickets in total, so a + c = 12. We also know that the cost of each adult ticket is $7 and the cost of each child ticket is $4. The total cost of the tickets is $72, so we can write another equation as 7a + 4c = 72. Now we can solve these two equations simultaneously:

• a + c = 12
• 7a + 4c = 72

Multiplying the first equation by 4, we get 4a + 4c = 48. Subtracting this equation from the second equation, we get 7a + 4c - (4a + 4c) = 72 - 48, which simplifies to 3a = 24. Dividing both sides of the equation by 3, we find that a = 8. Therefore, Mrs. Anderson bought 8 adult tickets to the fair.