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There are 6 gray keys for every 11 black keys. Also, the number of black keys is 2 less than twice the number of gray keys. Use your answer to part (b) to determine how many gray keys and how many black keys there are.

Respuesta :

[tex]\text{ Answer: There are }12\text{ gray keys.}\\\\\text{ there are }22\text{ black keys.}[/tex]

Explanation:

Since we have given that

There are 6 gray keys for every 11 black keys .

So, the ratio will be 6:11

Let the number of gray keys be 6x

Let the number of black keys be 11x

Now, according to question,

[tex]11x=2\times 2x-2\\\\11x=12x-2\\\\11x-12x=-2\\\\-x=-2\\\\x=2[/tex]

so,

[tex]\text{ there are }6x=6\times 2=12\text{ gray keys.}\\\\\text{ there are }11x=11\times 2=22\text{ black keys.}[/tex]

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