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A shopkeeper sells apples for $7 each and strawberries for $15.00 each

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Bunuel
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A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink] New post   29 Jan 2021, 01:15
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35% (medium)

Question Stats:

71% (01:32) correct 29% (01:04) wrong based on 65 sessions
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A shopkeeper sells apples for $7 each and strawberries for $15.00 each. How many apples did the shopkeeper sell today?

(1) The number of apples sold today is 1 more than twice the number of strawberries sold.
(2) Today the shopkeeper received a total of $65 from the sale of both apples and strawberries.


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GMATGuruNY
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Re: A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink] New post   29 Jan 2021, 04:35
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Bunuel wrote:
A shopkeeper sells apples for $7 each and strawberries for $15.00 each. How many apples did the shopkeeper sell today?

(1) The number of apples sold today is 1 more than twice the number of strawberries sold.
(2) Today the shopkeeper received a total of $65 from the sale of both apples and strawberries.


Statement 1:
Clearly INSUFFICIENT.

Statement 2:
\(7a + 15s = 65\)
\(a\) and \(s\) must be NONNEGATIVE INTEGERS.
Since \(15s\) may not exceed 65, \(s<5\).
Only \(s=2\) yields an integer value for \(a\):
\(7a + 15*2 = 65\)
\(7a = 35\)
\(a = 5\)
SUFFICIENT.

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B


Are these strawberries filled with diamonds?
$15 for a single strawberry seems steep.
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Re: A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink] New post   29 Jan 2021, 23:11
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A shopkeeper sells apples for $7 each and strawberries for $15.00 each. How many apples did the shopkeeper sell today?

(1) The number of apples sold today is 1 more than twice the number of strawberries sold.

Number can take any value.
Not sufficient

(2) Today the shopkeeper received a total of $65 from the sale of both apples and strawberries.

7a + 15s = 65
The above equations can be satisfied only for values a = 5 and s = 2

Sufficient

Option B

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Re: A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink] New post   29 Jan 2021, 23:56
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A shopkeeper sells apples for $7 each and strawberries for $15.00 each. How many apples did the shopkeeper sell today?

(1) The number of apples sold today is 1 more than twice the number of strawberries sold.
This option does not tell us how many apples sold - NOT SUFFICIENT

(2) Today the shopkeeper received a total of $65 from the sale of both apples and strawberries.
7x+15y=65
Only possible value is x=5 and y=2.
Option (2) alone SUFFICIENT

Ans B
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Re: A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink] New post   29 Jan 2021, 13:30
A shopkeeper sells apples for $7 each and strawberries for $15.00 each. How many apples did the shopkeeper sell today?
Total sales = 7a +15b

Stat1: The number of apples sold today is 1 more than twice the number of strawberries sold.
given, a-s=1, we can't get value of a. Not sufficient.

Stat2: Today the shopkeeper received a total of $65 from the sale of both apples and strawberries.
7a +15b =65, which can only one value of a = 5 and b= 2. Sufficient.

So, I think B. :)
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Re: A shopkeeper sells apples for $7 each and strawberries for $15.00 each [#permalink]
29 Jan 2021, 13:30
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Bunuel
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