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30 Oct 2019, 21:55
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (01:00) correct
12%
(01:05)
wrong
based on 183
sessions
History
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Time
Result
Not Attempted Yet
Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon?
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
31 Oct 2019, 01:17
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Bunuel
Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon?
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
#1
total cones = 24
vanila 3x/11 = 24
x= 88
sufficient
#2
C=2V
total cones of both not know
insufficient
IMO A
26 Mar 2020, 08:26
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Bunuel
Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon?
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
(1) Ivan sold 24 vanilla cones.
(2) Ivan sold twice as many chocolate cones as vanilla cones.
Given: On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2.
ASIDE: This information tells us that there are infinitely many possibilities with regards to the number of cones sold.
For example, it COULD be the case that Ivan sold 6 chocolate, 3 vanilla, and 2 strawberry cones
Or it COULD be the case that Ivan sold 12 chocolate, 6 vanilla, and 4 strawberry cones
Or it COULD be the case that Ivan sold 18 chocolate, 9 vanilla, and 6 strawberry cones
Or it COULD be the case that Ivan sold 24 chocolate, 12 vanilla, and 8 strawberry cones
etc...
Notice that we can keep creating equivalent ratios by multiplying each part of the original ratio (6 : 3 : 2) by the same value.
Target question: How many cones did Ivan sell on that afternoon?
Statement 1: Ivan sold 24 vanilla cones.
The original ratio, 6 : 3 : 2, the 3 represents the number of vanilla cones sold.
So if we multiply each part of the ratio by 8 we get the equivalent ratio 48 : 24 : 16
So the total number of cones sold = 48 + 24 + 16 = 98
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Ivan sold twice as many chocolate cones as vanilla cones
Since the ratio of chocolate to vanilla to strawberry cones sold is 6 : 3 : 2, we can see that the number of chocolate cones sold will always be twice the number of vanilla cones sold (since 6 is TWICE the value of 3)
Consider these two possible cases:
Case a: Ivan sold 6 chocolate, 3 vanilla, and 2 strawberry cones. In this case, the answer to the target question is Ivan sold 11 cones
Case b: Ivan sold 12 chocolate, 6 vanilla, and 4 strawberry cones. In this case, the answer to the target question is Ivan sold 22 cones
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
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