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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03-02-2017
Mathematics

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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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taskmasters taskmasters · Answer 1 · 2017-02-15T14:53:47+01:00

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.