The school that jack goes to is selling tickets to a choral performance. on the first day of ticket
3 answers
Question:
The school that jack goes to is selling tickets to a choral performance. on the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156. the school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets. find the price of a senior citizen ticket and the price of a student ticket.
Answers
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100
[tex]x = \frac{100}{25}[/tex]
x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080
[tex]y = \frac{1080}{72}[/tex]
y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
all teachers
step-by-step explanation:
she was supposed to add the hours(38.5) and multiply the amount of money she earned(7.50) resulting in $288.75 .
correct me if i'm wrong and if it is i'm truly sorry.
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