Shayna's school is selling tickets to a fall musical. on the first day of tickets sales the school sold 14 adult tickets and 1 s tudent ticket for a total of $107. The school took in $129 on the second day by selling 12 adult tickets and 5 student tickets. What is the price each of one adult ticket and one student ticket?
1 answer:
Answer:
The answer is: Each adult ticket is $7 and each student ticket is $9.
Step-by-step explanation:
Let a = the number of adult tickets. Let s = the number of student tickets.
For day 1:
14a + 1s = $107
Solve for s:
s = 107 - 14a
For day 2:
12a + 5s = $129
By substitution:
12a + 5(107 - 14a) = 129
12a + 535 - 70a = 129
-58a = 129 - 535
-58a = -406
a = -406 / -58 = $7 for adult tickets
Solve for s:
s = 107 - 14a
s = 107 - 14(7)
s = 107 - 98
s = $9 for student tickets
Proofs:
For day 1:
14a + 1s = $107
14(7) + 1(9) = 107
98 + 9 = 107
107 = 107
For day 2:
12a + 5s = $129
12(7) + 5(9) = 129
84 + 45 = 129
129 = 129
You might be interested in
Answer:
land
Step-by-step explanation:
because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️
hope i helped u
V = 24/3 = 8
Hello :
Answer:
3
Step-by-step explanation:
To the tenth term in the sequence we need to change all the n's to 10.
so...
a₁₀ = 4 + ( -1 )¹⁰ =
4 + (-1) = (Because -1¹⁰ = -1)
4 - 1 = 3
Answer:
Hello i'm alexa im just dropping in.
What do you call an instructor who farts a lot? A tutor.
Yer skills are as like me buried treasure just a myth.
