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If a phone call costs a cents for the first minute

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If a phone call costs a cents for the first minute [#permalink] New post 05 Oct 2012, 15:56
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Question Stats:

85% (02:02) correct 15% (00:00) wrong based on 27 sessions
If a phone call costs a cents for the first minute and \frac{a}{3} cents for each additional half-minute, how much a b minute phone call cost, in cents ???

1) \frac{(2a+2ab)}{27}

2)\frac{(a+2ab)}{3}

3)\frac{(a+ab)}{300}

4)\frac{(a+ab)}{3}

5)\frac{ab}{3}
[Reveal] Spoiler: OA

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Re: If a phone call costs a cents for the first minute [#permalink] New post 05 Oct 2012, 21:19
First, let's set up an equation:

No matter how long the phone call is, we always have to pay a cents for the first minute. Every minute beyond the first minute costs 2a/3 cents.

Cost of phone call = a + (b-1) * 2a/3

Now we have to simplify this equation.

3a/3 + (b-1) * 2a/3
(3a + (b-1) * 2a) / 3
(3a + 2ab - 2a) / 3
(a + 2ab) / 3
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Re: If a phone call costs a cents for the first minute [#permalink] New post 10 Dec 2012, 03:59
Cost = (1)(a) + ((b-1)/(1/2))(a/3)
Cost = a + (2b - 2)(a/3)
Cost = a + (2ab -2a)/3
Cost = (3a - 2a + 2ab) / 3
Cost = (a + 2ab)/3

Answer: B
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Re: If a phone call costs a cents for the first minute   [#permalink] 10 Dec 2012, 03:59
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