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# A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu

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Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135519 [0], given: 12697

A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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29 Feb 2016, 11:33
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25% (medium)

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76% (01:16) correct 24% (01:27) wrong based on 103 sessions

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A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135519 [0], given: 12697

Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1799

Kudos [?]: 1064 [0], given: 90

Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)
Re: A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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29 Feb 2016, 18:59
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Number of apples = 14
number of oranges = 23
let number of oranges that must be removed so that 70% of pieces of fruit in bowl will be apples = x
Total number of fruits after x oranges are removed = 14+(23-x) = 37-x

14/(37-x) = 7/10
=>20 = 37-x
=>x= 17

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Kudos [?]: 1064 [0], given: 90

Senior Manager
Joined: 20 Aug 2015
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Location: India
GMAT 1: 760 Q50 V44
A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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03 Mar 2016, 01:58
Bunuel wrote:
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20

Given: 14 apples and 23 oranges
Assume we need to remove x oranges.

Therefore
0.7 * (14 + 23 - x ) = 14
0.7*(37 - x) = 14
37 - x = 20
x = 17

Option D

Kudos [?]: 353 [0], given: 10

Manager
Joined: 25 Dec 2012
Posts: 134

Kudos [?]: 35 [0], given: 148

Re: A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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03 Mar 2016, 03:07
Bunuel wrote:
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20

According to given problem 14 apples contribute to 70%.

10% value is 14/7 = 2. Hence 30% contribute to 6 oranges.

Number of oranges needs to be removed = 23 - 6 = 17

Kudos [?]: 35 [0], given: 148

Senior Manager
Joined: 15 Sep 2011
Posts: 358

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Location: United States
WE: Corporate Finance (Manufacturing)
A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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03 Mar 2016, 09:53
Bunuel wrote:
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20

You notice that 14 and 70 percent , or $$\frac{7}{10}$$ , are mulitples of 7, and therefore the denomintor needs to be 20 in order for the apples to be 70 percent of both fruits. The total amount of apples and oranges are 37 and 37 minus 20 is 17.

Kr,
Ron

Kudos [?]: 429 [0], given: 45

VP
Joined: 22 May 2016
Posts: 1122

Kudos [?]: 401 [0], given: 644

A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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15 Oct 2017, 05:16
Bunuel wrote:
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20

14 apples must be 70 percent of some number. 14 is 70 percent of what number, $$x$$?

$$14 =.70x =\frac{7}{10}x$$
$$x = 14 * \frac{10}{7} = 20$$

There can be only 20 pieces of fruit for # of apples to equal 70 percent of the total.

(20 fruits - 14 apples) = 6 oranges

There are 23 oranges now. There can be only 6 oranges.
(23 - 6) = 17 must be removed

Kudos [?]: 401 [0], given: 644

Director
Joined: 07 Dec 2014
Posts: 859

Kudos [?]: 291 [0], given: 16

A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu [#permalink]

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15 Oct 2017, 12:33
Bunuel wrote:
A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?

(A) 3
(B) 6
(C) 14
(D) 17
(E) 20

let x=removed oranges
23-x=.3(14/.7)
x=17
D

Kudos [?]: 291 [0], given: 16

A bowl of fruit contains 14 apples and 23 oranges. How many oranges mu   [#permalink] 15 Oct 2017, 12:33
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