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# At a certain fruit stand, the price of an apple is twice the

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Joined: 18 Apr 2015
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At a certain fruit stand, the price of an apple is twice the [#permalink]  07 Nov 2018, 03:25
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Question Stats:

71% (01:33) correct 28% (02:33) wrong based on 14 sessions

At a certain fruit stand, the price of an apple is twice the price of an orange. For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?

Indicate all such combinations

A. 2 apples and 16 oranges

B. 3 apples and 14 oranges

C. 4 apples and 10 oranges

D. 6 apples and 8 oranges

E. 10 apples and 5 oranges

F. 12 apples and 4 oranges
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 855
WE: Engineering (Energy and Utilities)
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Re: At a certain fruit stand, the price of an apple is twice the [#permalink]  08 Nov 2018, 03:19
2
KUDOS
Carcass wrote:
At a certain fruit stand, the price of an apple is twice the price of an orange. For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?

Indicate all such combinations

A. 2 apples and 16 oranges

B. 3 apples and 14 oranges

C. 4 apples and 10 oranges

D. 6 apples and 8 oranges

E. 10 apples and 5 oranges

F. 12 apples and 4 oranges

Explanation:

A quick way is to insert values,

Let the price of 1 orange = \$1 (Use numbers such that it is convenient to calculate)

therefore the price of the 1 Apple = \$2

Price of 20 Orange = \$20

With the above information let put them in the options:

A. 2 apples and 16 oranges = (2 *2) + (16 *1) = 4 + 16 = \$20 = This is correct

B. 3 apples and 14 oranges = (3 * 2) + (14 * 1) = 6 + 14 = \$20 = This is correct

C. 4 apples and 10 oranges = (4 * 2) + (10 * 1) = 8 + 18 = \$18 = not possible

D. 6 apples and 8 oranges = (6 *2) + (8 * 1) = 12 + 8 = \$20 = This is correct

E. 10 apples and 5 oranges = (10 * 2) + (5 * 1) = \$25 = not possible

F. 12 apples and 4 oranges = (12 * 2) + (4 * 1) = \$28 = not possible

Options are A,B and D
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Re: At a certain fruit stand, the price of an apple is twice the [#permalink]  13 Feb 2019, 14:02
1
KUDOS
Expert's post
Carcass wrote:

At a certain fruit stand, the price of an apple is twice the price of an orange. For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?

Indicate all such combinations

A. 2 apples and 16 oranges

B. 3 apples and 14 oranges

C. 4 apples and 10 oranges

D. 6 apples and 8 oranges

E. 10 apples and 5 oranges

F. 12 apples and 4 oranges

Here's an algebraic solution.

Let x = the cost of ONE orange
So 2x = the cost of ONE apple

For which of the following combinations of apples and oranges is the total price equal to the total price of 20 oranges?
The cost of 20 oranges = 20x

So, we're looking for answer choices that equal 20x

A. 2 apples and 16 oranges
Cost = 2(2x) + 16x = 4x + 16x = 20x. WORKS!

B. 3 apples and 14 oranges
Cost = 3(2x) + 14x = 6x + 14x = 20x. WORKS!

C. 4 apples and 10 oranges
Cost = 4(2x) + 10x = 8x + 10x = 18x. nope

D. 6 apples and 8 oranges
Cost = 6(2x) + 8x = 12x + 8x = 20x. WORKS!

E. 10 apples and 5 oranges
Cost = 10(2x) + 5x = 25x. nope

F. 12 apples and 4 oranges
Cost = 12(2x) + 4x = 28x. nope

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: At a certain fruit stand, the price of an apple is twice the   [#permalink] 13 Feb 2019, 14:02
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