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?
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
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 .