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# Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m  [#permalink]

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26 Mar 2019, 23:41
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35% (medium)

Question Stats:

68% (02:10) correct 32% (01:53) wrong based on 28 sessions

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Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How many oranges are worth as much as 1/2 of 5 bananas?

(A) 2
(B) 5/2
(C) 3
(D) 7/2
(E) 4

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Intern
Joined: 27 Sep 2018
Posts: 37
Re: Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m  [#permalink]

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27 Mar 2019, 00:17
(\frac{2}{3})of 10 Banana= 8 oranges
\frac{5}{3} Banana= 2 oranges
\frac{5}{2} banana=3 oranges

as \frac{1}{2} of 5 =\frac{5}{2}
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Posts: 5027
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m  [#permalink]

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27 Mar 2019, 02:49
Bunuel wrote:
Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How many oranges are worth as much as 1/2 of 5 bananas?

(A) 2
(B) 5/2
(C) 3
(D) 7/2
(E) 4

given
2/3 * 10 b = 8 ora
so 1 b = 6/5 * oranges
to find
1 orange = 1/2 * 5 bana
so
1 orange = 1/2 * 5 * 6/5 = 3
IMO C
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Re: Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m  [#permalink]

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29 Mar 2019, 07:36
Bunuel wrote:
Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How many oranges are worth as much as 1/2 of 5 bananas?

(A) 2
(B) 5/2
(C) 3
(D) 7/2
(E) 4

We can create the proportion:

(2/3 x 10)/8 = (1/2 x 5)/n

(20/3)/8 = (5/2)/n

20/24 = 5/(2n)

40n = 120

n = 3

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Re: Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How m  [#permalink]

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02 May 2019, 09:34
Bunuel wrote:
Suppose that 2/3 of 10 bananas are worth as much as $8$ oranges. How many oranges are worth as much as 1/2 of 5 bananas?

(A) 2
(B) 5/2
(C) 3
(D) 7/2
(E) 4