Answer:
Adult price $5
Student price 8$
Step-by-step explanation:
Hello!
The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.
If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:
Day 1: 6 adult tickets and 11 student tickets for a total of $118
Symbolically: 6X + 11Y= $118
Day 2: 12 adult tickets and 12 student tickets for a total of $156
Symbolically: 12X + 12Y= $156
Step 1
From one of the formulas, clear one of the unknown values:
[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]
Step 2
Replace the value obtained in step one in the second formula:
[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]
The ticket price for an adult is $5
Step 3
Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:
Y= 13 - X= 13 - 5= $8
I hope this helps!
