Question

one family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. Another family spends $146 on 3 adult tickets and 2 youth tickets at the same park. What is the price of a youth ticket?

Answer 1

Step-by-step explanation:

let

adult ticket = x

youth ticket = y

1). 2x+3y = 134

2). 3x+2y = 146

*then multiply line 1). by the first number of line 2).

*then multiply line 2). by the first number of line 1).

1). (2x+3y = 134 ) x 3 = (6x + 9y = 402)

2). (3x+2y = 146) x 2 = (6x + 4y = 292)

*subtract new line 2). from new line 1).

5y = 110

y = 110/5 = $22

This is the value for youth ticket.

If another question asks for adult you do as follows:

*put this value for y in either original equation, I'll chose line 1).

2x+3y = 134

2x + (3x22) = 134

2x + 66 = 134

2x = 68

X = 68/2 = $34.

Hope the explanation helps, let me know if you need any further explanation

Answer 2

Answer:

Let x be the price of an adult ticket and y be the price of a youth ticket.

One family spends $134 on 2 adult tickets and 3 youth tickets so we can write: 2x+3y=134

Another family spends $146 on 3 adult tickets and 2 youth tickets so we can write: 3x+2y=146

We need to find y so we eliminate x. Multiply (1) by 3 and (2) by 2 to obtain (3) and (4): 6x+9y=402

6x+4y=292

Subtract (3) and (4) and solve for y: 5y=110

y=22→$22

Step-by-step explanation: