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The Binary Ice Cream Shoppe sells two flavors, vanilla and

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The Binary Ice Cream Shoppe sells two flavors, vanilla and [#permalink]

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23 Oct 2005, 19:57
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The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday?

a) 32
b) 35
c) 42
d) 48
E) 54
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23 Oct 2005, 22:38
Jainvineet: You are correct. OA is A.

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23 Oct 2005, 22:47
sudhagar wrote:
Jainvineet: You are correct. OA is A.

Vanilla/Choc = 2/3 => 3V=2C
If number of vanilla sold is 4 more, the ratio would be 3/4 so we get V+4/C=3/4 => 4V + 16 = 3C.

Solving for V would give the answer.
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23 Oct 2005, 23:28
sudhagar wrote:
The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday?

a) 32
b) 35
c) 42
d) 48
E) 54

V/C=2/3

3V=2C, V = 2/3C

If the store had sold 4 more vanilla cones, the ratio would be 3/4.

So (V+4)/C = 3/4, substitue V = 2/3C into the equation, I get C = 48, V = 32.

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24 Oct 2005, 00:46
V:C = 2:3 =>3V=2c or V = 2c/3 -> Equn 1
(V+4):c = 3:4 => 4v + 16 = 3c -> Equn 2
Solving equn 1 and 2 we get C=48 and V=32.

Hence A.
Re: PS: Ice Cream   [#permalink] 24 Oct 2005, 00:46
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The text passage provided contains a mathematical question. The question is about the number of vanilla ice cream cones sold at the Binary Ice Cream Shoppe on a specific day, given certain conditions about the ratio of vanilla to chocolate cones sold.

Content structure:
- The passage starts with a context about the Binary Ice Cream Shoppe and the flavors it sells.
- It then provides a ratio of vanilla to chocolate cones sold on a specific day.
- It introduces a condition: if 4 more vanilla cones were sold, the ratio would change.
- The question asks for the number of vanilla cones sold on that day.
- Multiple-choice answers are provided.

Analysis:
single_question_with_answer

the passage contains a single mathematical question with a clear problem statement and multiple-choice answers. the answer (32 vanilla cones) is provided in the text, making it a single_question_with_answer type.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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The Binary Ice Cream Shoppe sells two flavors, vanilla and

Author Message
Senior Manager
Joined: 02 Oct 2005
Posts: 297
Followers: 1

Kudos [?]: 21 [0], given: 0

The Binary Ice Cream Shoppe sells two flavors, vanilla and [#permalink]

Show Tags

23 Oct 2005, 19:57
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 2 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday?

a) 32
b) 35
c) 42
d) 48
E) 54
Senior Manager
Joined: 02 Oct 2005
Posts: 297
Followers: 1

Kudos [?]: 21 [0], given: 0

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23 Oct 2005, 22:38
Jainvineet: You are correct. OA is A.

Manager
Joined: 14 Apr 2003
Posts: 84
Followers: 1

Kudos [?]: 22 [0], given: 0

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23 Oct 2005, 22:47
sudhagar wrote:
Jainvineet: You are correct. OA is A.

Vanilla/Choc = 2/3 => 3V=2C
If number of vanilla sold is 4 more, the ratio would be 3/4 so we get V+4/C=3/4 => 4V + 16 = 3C.

Solving for V would give the answer.
VP
Joined: 06 Jun 2004
Posts: 1055
Location: CA
Followers: 2

Kudos [?]: 159 [0], given: 0

Show Tags

23 Oct 2005, 23:28
sudhagar wrote:
The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday?

a) 32
b) 35
c) 42
d) 48
E) 54

V/C=2/3

3V=2C, V = 2/3C

If the store had sold 4 more vanilla cones, the ratio would be 3/4.

So (V+4)/C = 3/4, substitue V = 2/3C into the equation, I get C = 48, V = 32.

Senior Manager
Joined: 15 Apr 2005
Posts: 415
Location: India, Chennai
Followers: 2

Kudos [?]: 16 [0], given: 0

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24 Oct 2005, 00:46
V:C = 2:3 =>3V=2c or V = 2c/3 -> Equn 1
(V+4):c = 3:4 => 4v + 16 = 3c -> Equn 2
Solving equn 1 and 2 we get C=48 and V=32.

Hence A.
Re: PS: Ice Cream   [#permalink] 24 Oct 2005, 00:46
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user
The text passage provided contains a mathematical question. The question is about the number of vanilla ice cream cones sold at the Binary Ice Cream Shoppe on a specific day, given certain conditions about the ratio of vanilla to chocolate cones sold.

Content structure:
- The passage starts with a context about the Binary Ice Cream Shoppe and the flavors it sells.
- It then provides a ratio of vanilla to chocolate cones sold on a specific day.
- It introduces a condition: if 4 more vanilla cones were sold, the ratio would change.
- The question asks for the number of vanilla cones sold on that day.
- Multiple-choice answers are provided.

Analysis:
TYPE: SINGLE_QUESTION_WITH_ANSWER

The passage contains a single mathematical question with a clear problem statement and multiple-choice answers. The answer (32 vanilla cones) is provided in the text, making it a SINGLE_QUESTION_WITH_ANSWER type.