At a college production of a play, 300300 tickets were sold. the ticket prices were $8, $10, and $12, and the total income from ticket sales was $26802680. how many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 55 times the number of $12 tickets sold?

Question

Sonia Bartlett

Mathematics

24 October, 18:05

At a college production of a play, 300300 tickets were sold. the ticket prices were $8, $10, and $12, and the total income from ticket sales was $26802680. how many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 55 times the number of $12 tickets sold?

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Anabel Lyons · Answer 1

(8t + 10t) + 55*12t = 300300

18t + 660t = 300300

t = 442.920354

time that number by each ticket type (do not round up). That'll give you each type of tickets sold.

8*442.920354 = 3543.36283

10*442.920354 = 4429.20354

55 * (12*442.920354) = 292327.434

if you add them up = 300300