The drama department at oak hill high school is hosting a spring play. Tickets for the play are $4 for students and $6 for adults. The drama department wishes to raise at least 1600 from this play and have at least 300 people attend the play. If 130 students tickets were sold, what is the minimum number of adult tickets that must be sold?

Question

Mathematics

Adriel Leonard

11 June, 18:51

The drama department at oak hill high school is hosting a spring play. Tickets for the play are $4 for students and $6 for adults. The drama department wishes to raise at least 1600 from this play and have at least 300 people attend the play. If 130 students tickets were sold, what is the minimum number of adult tickets that must be sold?

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Answers (1)

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Natalia Irwin · Answer 1

The minimum number of Adult tickets, to raise $1600 is: 180.

Step-by-step explanation:

Let s be for Students, at $4 per ticket.

Let a be for Adults, at 6$ per ticket.

Total sales = 4 * s + 6 * a

Total desired sales is $1600

By substitution:

1600 = 4 * 130 + 6a

1600 = 520 + 6a

1080 = 6a

a = 1080 / 6

a = 180