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26 Apr 2026, 13:00
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In 2025, Aurora Media sold StreamPlus subscriptions for \(s\) dollars each and NewsLite subscriptions for \(n\) dollars each. What was the ratio of Aurora Media’s total revenue from StreamPlus subscriptions to its total revenue from NewsLite subscriptions?
(1) Each StreamPlus subscription cost 6 times as much as each NewsLite subscription.
(2) Aurora Media sold 5 times as many NewsLite subscriptions as it sold StreamPlus subscriptions.
(1) Each StreamPlus subscription cost 6 times as much as each NewsLite subscription.
(2) Aurora Media sold 5 times as many NewsLite subscriptions as it sold StreamPlus subscriptions.
26 Apr 2026, 13:00
Kudos
Bookmarks
Official Solution:
In 2025, Aurora Media sold StreamPlus subscriptions for \(s\) dollars each and NewsLite subscriptions for \(n\) dollars each. What was the ratio of Aurora Media’s total revenue from StreamPlus subscriptions to its total revenue from NewsLite subscriptions?
Let \(Q\) be the number of StreamPlus subscriptions sold and \(P\) be the number of NewsLite subscriptions sold.
Total StreamPlus revenue = \(Q * s\).
Total NewsLite revenue = \(P * n\).
So the ratio asked is \(\frac{Q * s}{P * n}\).
(1) Each StreamPlus subscription cost 6 times as much as each NewsLite subscription.
This implies \(\frac{s}{n} = 6\). However, \(\frac{Q}{P}\) is unknown. Not sufficient.
(2) Aurora Media sold 5 times as many NewsLite subscriptions as it sold StreamPlus subscriptions.
This implies \(\frac{Q}{P} = \frac{1}{5}\). However, \(\frac{s}{n}\) is unknown. Not sufficient.
(1) + (2): From (1) we know \(\frac{s}{n} = 6\), and from (2) we know \(\frac{Q}{P} = \frac{1}{5}\), thus \(\frac{Q * s}{P * n} = \frac{Q}{P} * \frac{s}{n} = \frac{6}{5}\). So the revenue ratio is \(6:5\). Sufficient.
Answer: C
In 2025, Aurora Media sold StreamPlus subscriptions for \(s\) dollars each and NewsLite subscriptions for \(n\) dollars each. What was the ratio of Aurora Media’s total revenue from StreamPlus subscriptions to its total revenue from NewsLite subscriptions?
Let \(Q\) be the number of StreamPlus subscriptions sold and \(P\) be the number of NewsLite subscriptions sold.
Total StreamPlus revenue = \(Q * s\).
Total NewsLite revenue = \(P * n\).
So the ratio asked is \(\frac{Q * s}{P * n}\).
(1) Each StreamPlus subscription cost 6 times as much as each NewsLite subscription.
This implies \(\frac{s}{n} = 6\). However, \(\frac{Q}{P}\) is unknown. Not sufficient.
(2) Aurora Media sold 5 times as many NewsLite subscriptions as it sold StreamPlus subscriptions.
This implies \(\frac{Q}{P} = \frac{1}{5}\). However, \(\frac{s}{n}\) is unknown. Not sufficient.
(1) + (2): From (1) we know \(\frac{s}{n} = 6\), and from (2) we know \(\frac{Q}{P} = \frac{1}{5}\), thus \(\frac{Q * s}{P * n} = \frac{Q}{P} * \frac{s}{n} = \frac{6}{5}\). So the revenue ratio is \(6:5\). Sufficient.
Answer: C
