At a concert 1,600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each. If the number of adult tickets was 30 less than twice the number of chil…

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asked Jan 22, 2021 106k views

2 Answers

Gessica · Answer 1 · 2021-01-24T11:02:49+0000

Approximately 543 children's tickets and 1056 adult tickets were sold.

Let's solve this problem step by step.

Let the number of children's tickets be x.

The number of adult tickets is 30 less than twice the number of children's tickets, so it can be represented as 2x - 30.

Total number of tickets sold = number of children's tickets + number of adult tickets

1600 = x + (2x - 30)

1600 = 3x - 30

3x = 1630

x = 1630/3

x ≈ 543.33

Since the number of children's tickets must be a whole number, we can round down to 543.

Now, we can find the number of adult tickets: 2x - 30 = (2 * 543) - 30 = 1056.

So, approximately 543 children's tickets and 1056 adult tickets were sold.