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

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

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New post 29 Feb 2016, 11:33
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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

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

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New post 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

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

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New post 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

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

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New post 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

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

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New post 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.

Answer D.

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

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New post 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

Answer D

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

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

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