Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies & Recreation and Soliloquies. Each of the Hobbies and Recreation episodes lasted about 32 minutes. Each Soliloquies episode lasted 42 minutes. To how many of each tag did Steve subscribe?

Question

Mathematics

Underwood

30 October, 00:38

Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies & Recreation and Soliloquies. Each of the Hobbies and Recreation episodes lasted about 32 minutes. Each Soliloquies episode lasted 42 minutes. To how many of each tag did Steve subscribe?

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Answers (1)

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Jacquelyn Whitaker · Answer 1

We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,

x + y = 10

32x + 42y = 340

The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes.