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Six friends shared a cab to the airport, and at the end of their ride

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Six friends shared a cab to the airport, and at the end of their ride [#permalink]

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New post 09 Feb 2017, 06:34
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Difficulty:

  25% (medium)

Question Stats:

70% (01:15) correct 30% (00:40) wrong based on 43 sessions

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Six friends shared a cab to the airport, and at the end of their ride added a 10% tip to their fare. If each friend paid $22 in total, what was the amount of their fare, not inclusive of tip?

A. \($118.80\)

B. \($120.00\)

C. \($122.00\)

D. \($124.00\)

E. \($145.20\)

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Re: Six friends shared a cab to the airport, and at the end of their ride [#permalink]

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New post 09 Feb 2017, 09:27
22 * 6 = 132

132 is paid at 1.1x --> x = 132/1.1 = 120

Answer: B
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Re: Six friends shared a cab to the airport, and at the end of their ride [#permalink]

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New post 09 Feb 2017, 09:39
ziyuenlau wrote:
Six friends shared a cab to the airport, and at the end of their ride added a 10% tip to their fare. If each friend paid $22 in total, what was the amount of their fare, not inclusive of tip?

A. \($118.80\)

B. \($120.00\)

C. \($122.00\)

D. \($124.00\)

E. \($145.20\)


110% of p = 22

So, p = 20

Thus, The total fare (ex tip) is 20*6 = 120

Hence, correct answer must be (B) $ 120
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Re: Six friends shared a cab to the airport, and at the end of their ride [#permalink]

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New post 13 Feb 2017, 17:05
ziyuenlau wrote:
Six friends shared a cab to the airport, and at the end of their ride added a 10% tip to their fare. If each friend paid $22 in total, what was the amount of their fare, not inclusive of tip?

A. \($118.80\)

B. \($120.00\)

C. \($122.00\)

D. \($124.00\)

E. \($145.20\)


We are given that each of the 6 friends paid 22 dollars total for a cab ride, including a 10% tip.

The total amount paid was 6 x 22 = 132 dollars. We can let the total amount of the trip (excluding the tip) = t and create the following equation:

fare + tip = total

t + 0.10t = 132

1.1t = 132

11t = 1320

t = 120

Answer: B
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Re: Six friends shared a cab to the airport, and at the end of their ride [#permalink]

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New post 15 Feb 2017, 21:41
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Hi ziyuenlau,

This question can be solved rather easily by TESTing THE ANSWERS.

We're told that each of 6 friends paid $22 for a cab fare - and that that $22 included a 10% tip. The question asks us for the cost of the cab BEFORE the tip was added.

Since each of the 6 friends paid $22/each, they paid a total of (6)($22) = $132, so we're looking for an answer that becomes $132 when you increase it by 10%...

Let's TEST Answer B: $120

$120 + (10% of $120) = $120 + $12 = $132

This is an exact match for what we were told, so this MUST be the answer.

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Re: Six friends shared a cab to the airport, and at the end of their ride   [#permalink] 15 Feb 2017, 21:41
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