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At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

User Martin Drozdik
by
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1 Answer

13 votes
13 votes

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==> 6s + 6a = 142

-12s - 6a = -192

6s + 6a = 142

-6s = -50

/-6 /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32 -33.32

2a = 30.68

/2 /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high-example-1
User Leroux
by
3.0k points
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