Question

Define your variables, write a system of equations, then solve the system of equations by using substitution.

The school that Stefan goes to is pre-selling tickets to a concert. On the first day of ticket sales, the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day boy selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.

Answer 1

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I'm happy to help!

Answer:

Adult tickets are $14

Student tickets are $8

Explanation:

let's say that
`\tt s=student~ticket\\\\`

And
`\tt a=adult~ticket`

on the first day we have:

`\tt 3s+a=38`

On the second day we have

`\tt3s+2a=52`

now we have a system of 2 equations with 2 unknown

`\tt 3s+a=38`

`\tt 3s+2a=52`

we will multiply the first equation with -1

`\tt -3s-a=-38\\\tt ~3s+2a=52`

we solved the system and

a= $14, forthe adult ticket

s= $8 for the student ticket

Hope this helps!

Have an Awesome day!