What’s the cost of each ticket?

Question

A school is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 adult ticket for a total of $38. The second day the school collected $68 by selling 5 senior citizen tickets and 2 adult tickets. Find the price of each ticket.

Answer 1

Let x= cost of senior tickets

Let y= cost of adult tickets

The equations are:

3x+y=38

5x+2y=68

You can solve this by any method you like, I chose the addition method.

Multiply the first equation by -2

-2(3x+y=38) =

-6x-2y=-76 Add it to the second equation, this eliminates the y variable.

5x+2y=68

Result of adding the equations:

-x=-8 Divide both sides by -1

x=8

Plugging x=8 into either equation will give you y. I used the first one.

3(8)+y=38

24+y=38 Subtract 24 from both sides

y=14

The price of the senior tickets was $8.00, the adult tickets were $14.00

Answer 2

Let x = price of a senior ticket and y = price of an adult ticket

Then, 3x + y = 38 and 5x + 2y = 68

So, 5x + 2(38 - 3x) = 68

-x = -8

Therefore, x = $8 and y = 38 - 3x = $14

A senior ticket costs $8 and an adult ticket costs $14.

Answer 3

3sc+a=38

5sc+2a=68

8sc+2a=106

Need more imfo.