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Ines has $15 to purchase fruit. All apples are priced equally and all bananas are priced equally. If 5 apples and 5

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Ines has $15 to purchase fruit. All apples are priced equally and all bananas are priced equally. If 5 apples and 5

by BTGmoderatorDC » Thu Apr 23, 2020 6:07 pm

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Ines has $15 to purchase fruit. All apples are priced equally and all bananas are priced equally. If 5 apples and 5 bananas cost exactly $15, could she afford 4 apples and 6 bananas with the money she has?

(1) The cost of one apple exceeds the cost of one banana by more than $0.20.

(2) Ines cannot afford 6 apples and 4 bananas with the money she has.


OA D

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Source: — Data Sufficiency |

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Re: Ines has $15 to purchase fruit. All apples are priced equally and all bananas are priced equally. If 5 apples and 5

by Jay@ManhattanReview » Thu Apr 23, 2020 10:43 pm

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BTGmoderatorDC wrote: ↑
Thu Apr 23, 2020 6:07 pm
 Ines has $15 to purchase fruit. All apples are priced equally and all bananas are priced equally. If 5 apples and 5 bananas cost exactly $15, could she afford 4 apples and 6 bananas with the money she has?

(1) The cost of one apple exceeds the cost of one banana by more than $0.20.

(2) Ines cannot afford 6 apples and 4 bananas with the money she has.

OA D

Source: Manhattan Prep
So, we have

5 apples + 5 banana = $15;

We have to find out whether (5 apples + 5 banana) – 1 apple + 1 banana ≤ $15;

So, we have to see if an apple is swapped with a banana, can Ines buy it?

This is possible only if the price of an apple is greater than the price of a banana.

Let's take each statement one by one.

(1) The cost of one apple exceeds the cost of one banana by more than $0.20.

This sufficient as the price of an apple is greater than the price of a banana.

(2) Ines cannot afford 6 apples and 4 bananas with the money she has.

=> The price of an apple is greater than the price of a banana. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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