The total number of tickets given away is 280
How to determine the total number of tickets?
To do this, we make use of the following representations:
- c represents children
- a represents adults
- s represents senior
From the question, we have the following equations:
a = 20 + c --- 20 more adult than children
s = 3a ---- 3 times as many senior as adult
c = 40 --- number of children tickets
Substitute c = 40 in a = 20 + c
a = 20 + 40
a = 60
Substitute a = 60 in s = 3a
s = 3 * 60
s = 180
The total number of tickets is:
Total = a + c + s
This gives
Total = 60 + 40 + 180
Evaluate
Total = 280
Hence, the total number of tickets given away is 280
Read more about system of equations at:
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