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B
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Difficulty:
35%
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Question Stats:
70% (01:38) correct
30%
(01:42)
wrong
based on 107
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The regular ticket price for a certain showing of a film was $30, but loyalty card holders paid a discounted price of only $20. Last Tuesday, what was the ratio of the number of discounted tickets to the number of regularly priced tickets purchased for the showing?
(1) Last Tuesday, the total sale of all tickets for the showing was $4,800.
(2) Last Tuesday, the ratio of total discounted ticket sale for the showing to the total regular ticket sale was 2 to 5.
(1) Last Tuesday, the total sale of all tickets for the showing was $4,800.
(2) Last Tuesday, the ratio of total discounted ticket sale for the showing to the total regular ticket sale was 2 to 5.
23 Feb 2026, 01:22
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ExpertsGlobal5
Let the price of
Regular ticket = $30
Discounted ticket = $20
Number of tickets
Regular ticket = a
Discounted tickets = b
We need to find the ratio of (b/a) ?
Statement 1:
Last Tuesday, the total sale of all tickets for the showing was $4,800.
30a + 20 b = $4800
3a + 2b = 480
The values can be from a = 0 to 160, similar values of b = 240 to 0.
Hence, Insufficient
Stateement 2:
Last Tuesday, the ratio of total discounted ticket sale for the showing to the total regular ticket sale was 2 to 5.
Total discounted sale = 20b
Total regular ticket sale = 30a
20b / 30a = (2/5)
(b/a) = (3/5)
Hence, Sufficient
Option B
23 Feb 2026, 21:46
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What we need: The ratio of discounted tickets (D) to regular tickets (R).
Let D = number of discounted tickets ($20 each)
Let R = number of regular tickets ($30 each)
Statement 1: Total sale = $4,800
This gives us: 20D + 30R = 4800
Case 1: D = 60, R = 120 → Ratio D:R = 1:2
Case 2: D = 120, R = 80 → Ratio D:R = 3:2
Two different ratios possible → Not Sufficient
Statement 2: Ratio of discounted sale to regular sale = 2:5
Total discounted sale = 20D
Total regular sale = 30R
So: 20D/30R = 2/5
Cross-multiply: 20D × 5 = 30R × 2
100D = 60R
D/R = 60/100 = 3/5
The ratio D:R = 3:5 - one unique answer → Sufficient
Answer: B
Let D = number of discounted tickets ($20 each)
Let R = number of regular tickets ($30 each)
Statement 1: Total sale = $4,800
This gives us: 20D + 30R = 4800
Case 1: D = 60, R = 120 → Ratio D:R = 1:2
Case 2: D = 120, R = 80 → Ratio D:R = 3:2
Two different ratios possible → Not Sufficient
Statement 2: Ratio of discounted sale to regular sale = 2:5
Total discounted sale = 20D
Total regular sale = 30R
So: 20D/30R = 2/5
Cross-multiply: 20D × 5 = 30R × 2
100D = 60R
D/R = 60/100 = 3/5
The ratio D:R = 3:5 - one unique answer → Sufficient
Answer: B
