## The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family spends$146 on 3 adult t

Question

The Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park. The Coaster family spends$146 on 3 adult tickets and 2 youth tickets at the same park. Find the price of adult and youth tickets,

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4 mins 2021-07-22T10:00:26+00:00 1 Answers 0 views 0

## Answers ( )

34 adult ticket and 22 youth tickets

Step-by-step explanation:

Let the price of adult be x

Let the price of youth tickets be y

If the Roller family spends $134 on 2 adult tickets and 3 youth tickets at an amusement park, then; 2x+3y = 134 …. 1 Also if the Coaster family spends$146 on 3 adult tickets and 2 youth tickets at the same park then;

3x+2y = 146 ….. 2

Solve simultaneously

2x+3y = 134 …. 1 * 3

3x+2y = 146 ….. 2 * 2

_____________

6x+9y = 402

6x+4y = 292

Subtract

9y-4y = 402-292

5y = 110

y = 110/5

y = 22

Substitute y =22 into 1;

From 1;

2x+3y = 134

2x+3(22) = 134

2x+66 = 134

2x = 134-66

2x = 68

x = 34

Hence there are 34 adult ticket and 22 youth tickets