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DeShawn's school is selling tickets to the annual dance competition. On the first day of ticket sales, the school sold 1 adult ticket and 2 student tickets for a total of 18 dollars. The school took in 43 dollars on the second day by selling 1 adult ticket and 7 student tickets. What is the price each of one adult ticket and one student ticket?

 Aug 11, 2021
 #1
avatar+62 
+2

Hi Guest,

 

I first listed the facts:

 

1 adult

2 student

== $18.00

 

1 adult 

7 student 

== $43.00

 

Then I created a system of equations to solve:

 

1a + 2s = 18

1a + 7s = 43

 

1a = 18-2s

 

Substution:

 

18-2s + 7s = 43

5s + 18 = 43

s = 5

 

If s = 5, then a = 8

 

1 Adult Ticket = $8.00

1 Student Ticket = $5.00

 Aug 11, 2021
 #2
avatar+2205 
+2

Very clear solution. :))

Welcome to web2.0calc.

 

=^._.^=

catmg  Aug 11, 2021
 #3
avatar+34374 
0

Difference between day 1 and day 2 was 5 student tix and 25 dollars      so each student ticket is 5 dollars

    Day 1 was 1 adult and two student for 18 dollars    so an adult costs  8 dollars .

 Aug 11, 2021

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