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What is sum of cost of one apple, one orange and one pear, in dollars?

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Bunuel
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What is sum of cost of one apple, one orange and one pear, in dollars? [#permalink] New post   02 Sep 2022, 04:10
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A
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C
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E

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45% (medium)

Question Stats:

60% (01:26) correct 40% (01:48) wrong based on 67 sessions
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What is sum of cost of one apple, one orange and one pear, in dollars?

(1) The cost of one apple, two oranges, and three pears is 10 dollars.
(2) The cost of one apple, three oranges, and five pears is 14 dollars.
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RishabRao99
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Re: What is sum of cost of one apple, one orange and one pear, in dollars? [#permalink] New post   05 Sep 2022, 21:32
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Facing some issue here in this problem, if we combine both statements we get 1 orange + 2 pear = 4, how does that help us get sum of all?
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What is sum of cost of one apple, one orange and one pear, in dollars? [#permalink] New post   06 Sep 2022, 01:25
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RishabRao99

Question: what is the value of \(a + o + p\)



(1) The cost of one apple, two oranges, and three pears is 10 dollars.

\(a + 2o + 3p = 10\)

Insufficient



(2) The cost of one apple, three oranges, and five pears is 14 dollars.

\(a + 3o + 5p = 14\)

Insufficient


(1)+(2)


From (1) we have \(a + 2o + 3p = 10\) and from (2) we have \(a + 3o + 5p = 14\). Notice that if we double (1) we will have values for apples, oranges and pears that are 1 more than in (2).

Double (1): \(2a + 4o + 6p = 20\)

Subtract \(a + 3o + 5p = 14\) from the above to get

\(a + o + p = 6\)

Sufficient


Answer C
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Re: What is sum of cost of one apple, one orange and one pear, in dollars? [#permalink] New post   02 Oct 2023, 23:46
RishabRao99 wrote:
Facing some issue here in this problem, if we combine both statements we get 1 orange + 2 pear = 4, how does that help us get sum of all?


With this equation take the first condition and substract 1 orange and 2 pears and you will get 1a+1o+1p!
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Re: What is sum of cost of one apple, one orange and one pear, in dollars? [#permalink]
02 Oct 2023, 23:46
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