Total number of adult tickets = 250
Total number of student tickets = 188
Step-by-step explanation:
Let
a be the number of tickets for adults
and
s be the number of tickets for students
Then
Eqn 1: a+s=438
Eqn 2: s=a-62
Putting s=a-62in eqn 1
[tex]a+(a-62)=438\\a+a-62=438\\Adding\ 62\ on\ both\\ sides\\2a-62+62=438+62\\2a=500\\Dividing\ both\ sides\ by\ 2\\\frac{2a}{2}=\frac{500}{2}\\a=250\\Putting\ a=250\ in\ eqn\ 2\\s=250-62\\s=188[/tex]
Total number of adult tickets = 250
Total number of student tickets = 188
Keywords: Linear equations, system of equations
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