Question

On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?

Answer 1

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Explanation:

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Answer 2

Adult ticket = $4,5

Student ticket = $3

.

Explanation:

Let say adult ticket is x and student ticket is y. so we get:

→ 8x + 13y = 75 (×5) 40x + 65y = 375

→ 10x + 9y = 72 (×4) 40x + 36y = 288

.

Eliminate both equations

40x + 65y = 375

40x + 36y = 288

29y = 87

`y = (87)/(29)`

`y = 3`

.

Substitute the value of y to one of equations

`10x + 9(3) = 72`

`10x + 27 = 72`

`10x = 72 - 27`

`10x = 45`

`x = (45)/(10)`

`x = 4,5`

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Happy to help :)