A total of 438 tickets were sold for the school play.They were either adult tickets .There were 62 fewer student tickets sold th

Question

daser333 [38]

3 years ago

6

A total of 438 tickets were sold for the school play.They were either adult tickets .There were 62 fewer student tickets sold th

an adult tickets.How many adult tickets were sold?

Mathematics

1 answer:

Paladinen [302] · Answer 1 · 2022-05-11T09:38:32+03:00

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

$a+(a-62)=438\\a+a-62=438\\Adding\ 62\ on\ both\\ sides\\2a-62+62=438+62\\2a=500\\Dividing\ both\ sides\ by\ 2\\\frac{2a}{2}=\frac{500}{2}\\a=250\\Putting\ a=250\ in\ eqn\ 2\\s=250-62\\s=188$

Total number of adult tickets = 250

Total number of student tickets = 188

Keywords: Linear equations, system of equations

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