The statement which explains Krissa’s error is "She switched the prices of the tickets" ⇒ A
Step-by-step explanation:
A college is selling tickets for a winter fund-raiser
- One day, Krissa sold 14 adult tickets and 8 student tickets for a total of $376
- The next day, she sold 7 adult tickets and 11 student tickets for a total of $272
- The price of one adult ticket is a
- The price of one student ticket is s
- She wrote and solved the following system of equations. 14a + 8s = 376 and 7a + 11s = 272
- She found that the price of one student ticket is $20 and the price of one adult ticket is $12
We need to find which statement explains Krissa’s error
∵ The system of equations is:
14a + 8s = 376 ⇒ (1)
7a + 11s = 272 ⇒ (2)
Multiply equation (2) by -2 to eliminate x
∵ -14a - 22s = -544 ⇒ (3)
Add equations (1) and (3)
∴ -14s = -168
Divide both sides by -14
∴ s = 12
Substitute the value of s in equation (2) to find a
∵ 7a + 11(12) = 272
∴ 7a + 132 = 272
Subtract 132 from both sides
∴ 7a = 140
Divide both sides by 7
∴ a = 20
∵ a represents the price of one adult ticket
∴ The price of one adult ticket is $20
∵ s represents the price of one student ticket
∴ The price of one student ticket is $12
∵ She found that the price of one student ticket is $20 and
the price of one adult ticket is $12
- She switched the prices of the tickets
∴ Her error is, she switched the prices of the tickets
The statement which explains Krissa’s error is "She switched the prices of the tickets"
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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