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Bunuel
A community theater troupe sold 1200 tickets for a performance. One third of those tickets were adult tickets and the rest were children's tickets. 60% of all children's tickets were used, along with 120 adult tickets. What percentage of all tickets were not used for the performance?

A. 48%
B. 50%
C. 56%
D. 60%
E. 64%


Since ⅓ of the 1200 tickets are adult tickets, ⅔ of the 1200 tickets, or 800 tickets, are children’s tickets. Therefore, the number of tickets used was:

0.6 x 800 + 120 = 480 + 120 = 600

Thus, 600 tickets, or 50% of the tickets, were not used.

Answer: B
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Total tickets = 1200

One-third of those tickets were adult tickets: \(\frac{1}{3} * 1200 = 400\)

Remaining: 1200 - 400 = 800 (children's ticket)

60% of all children's tickets were used: \(\frac{60}{100} * 800 = 480\) (Along with 120 adult tickets). Therefore, total used tickets:

=> 480 + 120 = 600

Tickets not used: 1200 - 600 = 600 which is 50% of total tickets.

Answer B
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