Suppose Gil can write a poem in 1 hour, Holly can write a poem in 2 hours, and Ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. If a literary magazine needs one poem, how much will it cost

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05-02-2021
Mathematics

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Suppose Gil can write a poem in 1 hour, Holly can write a poem in 2 hours, and Ivan can write a poem in 3 hours. Each person spends 12 hours per day writing poems and requires a wage of $10 per hour to do so. If a literary magazine needs one poem, how much will it cost

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Xero099idn Xero099idn · Answer 1 · 2021-02-06T21:10:14-05:00

Answer:

The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.

Step-by-step explanation:

The wage indicate the amount of money earned in hour for production of poems. If a literary magazine needs just one poem, then the cost will be the wage multiplied by time taken for the creation of the poem. There are three possibilities:

Gil

[tex]C = \left(10\,\frac{USD}{h})\cdot (1\,h)[/tex]

[tex]C = 10\,USD[/tex]

Holly

[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (2\,h)[/tex]

[tex]C = 20\,USD[/tex]

Ivan

[tex]C = \left(10\,\frac{USD}{h}\right)\cdot (3\,h)[/tex]

[tex]C = 30\,USD[/tex]

The literary magazine must pay $ 10 if poem is written by Gil, $ 20 if poem is written by Holly and $ 30 if poem is written by Ivan.

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