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Mashutka [201]
3 years ago
15

A college is selling tickets for a winter fund-raiser. One day, Krissa sold 14 adult tickets and 8 student tickets for a total o

f $376. The next day, she sold 7 adult tickets and 11 student tickets for a total of $272. Krissa wanted to find the price of one adult ticket, a, and the price of one student ticket, s. She wrote and solved the following system of equations.
14a+8s=376
7a+11s=272

She found that the price of one student ticket is $20 and the price of one adult ticket is $12. Which statement explains Krissa’s error?

A She switched the prices of the tickets.
B The solution works in both equations.
C The solution only gives the correct price for one student ticket.
Mathematics
2 answers:
FinnZ [79.3K]3 years ago
6 0

Answer: She switched the prices of the tickets.

Explanation Oof Oof Oof Oof

FromTheMoon [43]3 years ago
5 0

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

#LearnwithBrainly

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