Question

Pranav's school is selling tickets

to a fall musical. On the first
day of ticket sales the school
sold 12 adult tickets and 7
student tickets for a total of
$124. The school took in $20
on the second day by selling 1
adult ticket and 3 student
tickets.
What is the price each of one
adult ticket and one student
ticket?
I need the number of 2 points shots and the number of 3 points shots

Answer 1

The cost of one adult ticket is $8 and cost of one student ticket is $4.

Explanation:

Let,

x be the price of one adult ticket

y be the price of one student ticket

According to given statement;

12x+7y=124 Eqn 1

x+3y=20 Eqn 2

Multiplying Eqn 2 by 12

12(x+3y=20)

12x+36y=240 Eqn 3

Subtracting Eqn 1 from Eqn 3

(12x+36y)-(12x+7y)=240-124

12x+36y-12x-7y=116

29y=116

Dividing both sides by 29

`(29y)/(29)=(116)/(29)\\y=4`

Putting y=4 in Eqn 2

x+3(4)=20

x+12=20

x=20-12

x=8

Hence,

The cost of one adult ticket is $8 and cost of one student ticket is $4.