Question

Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket. 150x + 80y + 12z = 2,466 380x + 95y + 48z = 5,419 210x + 130y + 60z = 3,960 220x + 225y = 4,445 540x + 270y = 8,370 → y = −2x + 31 x = 11 Finish solving the system using. What are y and z?

Answer 1

Y=9

Z=8

For the next one, the solution can be expressed as 11,9, and 8

Explanation:

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Answer 2

Answer: y = 9, z = 8

Explanation:

Here, the given equations are,

150x + 80y + 12z = 2,466 ---------(1)

380x + 95y + 48z = 5,419 ---------(2)

210x + 130y + 60z = 3,960 --------(3)

4 × equation (1) - Equation (2),

220x + 225y = 4,445 ------------(4)

5 × equation (1) - equation (3),

540x + 270y = 8,370

⇒ 270 y = 8370 - 540 x

⇒ y = 31 - 2 x

Substituting the value in equation (4),

220 x + 225 ( 31 - 2 x ) = 4445

220 x + 6975 - 450 x = 4445

- 230 x = - 2530

x = 11

By putting this value in equation (5),

we get, y = 31 - 22

y = 9

By putting the value of x and y in equation (1),

1650 + 720 + 12 z = 2466

2370 + 12 z = 2466

12 z = 96

z = 8