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Concept explainers
To find the number of podcasts in each tag that Steve subscribed.
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Answer to Problem 6CYU
Hobbies and Recreation: 8 podcasts
Soliloquies: 2 podcasts
Explanation of Solution
Given:
Steve subscribed to 10 podcasts for 340 minutes.
Duration of Hobbies and Recreation each episode: 32 minutes
Duration of Soliloquies each episode: 42 minutes.
Calculation:
Let x be the number of episodes in Hobbies and Recreation and y be the number of episodes in Soliloquies.
Total number of podcasts subscribed is
Duration of the podcasts is
Multiplying equation (1) with 32,
Subtract equation (3) from equation (1),
Substitute the value of y in equation (1),
Conclusion:
Therefore, Steve has subscribed to 8 podcasts in Hobbies and Recreation and 2 podcasts in Soliloquies.
Chapter 6 Solutions
Algebra 1
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