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A total of 821 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 more student tickets sold than adult tickets. How many adult tickets were sold?

User Alex Lyman
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2 Answers

2 votes
I think the answer 375 adult tickets were sold.

I got this answer by subtracting 71 from 821. And got 750. (821-71=750)
Then I divided 750 by 2 and got 375 for the adults.

HOPE I HELPED!!!

User Jangari
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1 vote
Answer:
number of adult tickets = 375 tickets

Step-by-step explanation:
Assume that the number of adult tickets is a and the number of student tickets is s.

We are given that:
Total number of sold tickets is 821. This means that:
a + s = 821 ............> equation I
Number of student tickets is 71 more than adult tickets. This means that:
s = a + 71 .........> equation II

Substitute with II in I and solve for a as follows:
a + s = 821
a + 71 + a = 821
2a + 71 = 821
2a = 821 - 71
2a = 750
a = 750 / 2
a = 375

Substitute with the value of s in equation I to get s as follows:
a + s = 821
s + 375 = 821
s = 821 - 375
s = 446 tickets

Based on the above:
number of adult tickets = a = 375 tickets
number of student tickets = s = 446 tickets

Hope this helps :)
User Attersson
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