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# A number, n, is multiplied by 6. The product is increased b

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A number, n, is multiplied by 6. The product is increased b [#permalink]  05 Jun 2017, 08:33
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A number, n, is multiplied by 6. The product is increased by 24. Finally, the entire quantity is divided by 3. Which of the following expresses the final result in terms of n ?

A) \frac{n}{3} + 8

B)n + \frac{24}{2}

C) 2n + 8

D) 3n + 24

E) 16n
[Reveal] Spoiler: OA

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Re: A number, n, is multiplied by 6. The product is increased b [#permalink]  06 Jun 2017, 15:41
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Expert's post
Carcass wrote:

A number, n, is multiplied by 6. The product is increased by 24. Finally, the entire quantity is divided by 3. Which of the following expresses the final result in terms of n ?

A) \frac{n}{3} + 8

B)n + \frac{24}{2}

C) 2n + 8

D) 3n + 24

E) 16n

A number, n, is multiplied by 6....
We get: 6n

...The product is increased by 24
We get: 6n + 24

...Finally, the entire quantity is divided by 3.
We get: (6n + 24)/3

Check answer choices....not there. We need to simplify.

Use the rule that says: (a + b)/c = a/c + b/c

So, (6n + 24)/3 = 6n/3 + 24/3
= 2n + 8

[Reveal] Spoiler:
C

Cheers,
Brent
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Re: A number, n, is multiplied by 6. The product is increased b   [#permalink] 06 Jun 2017, 15:41
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