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If Pei ordered a total of 63 bottles of Cola, Root Beer and

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If Pei ordered a total of 63 bottles of Cola, Root Beer and  [#permalink]

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New post 04 Jun 2014, 23:30
1
4
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A
B
C
D
E

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73% (00:59) correct 27% (01:05) wrong based on 223 sessions

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If Pei ordered a total of 63 bottles of Cola, Root Beer and Ginger Ale for a part. How many Cola bottles did she order?

(1) The no of bottles of root beer Pei order was 80% of bottles of ginger ale that she ordered
(2) The no of bottles of cola Pei order was 75% of total no. of bottles of ginger ale and root beer that she ordered

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Re: If Pei ordered a total of 63 bottles of Cola, Root Beer and  [#permalink]

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New post 05 Jun 2014, 01:06
If Pei ordered a total of 63 bottles of Cola, Root Beer and Ginger Ale for a part. How many Cola bottles did she order?

Given: {Cola} + {Beer} + {Ale} = 63.
Question: {Cola} = ?

(1) The no of bottles of root beer Pei order was 80% of bottles of ginger ale that she ordered --> {Beer} = 0.8{Ale} --> 5*{Beer} = 4*{Ale} ({Beer} is a multiple of 4 and {Ale} is a multiple of 5). If {Beer} = 4 and {Ale} = 5, then {Cola} = 54 but if {Beer} = 8 and {Ale} = 10, then {Cola} = 45. Not sufficient.

(2) The no of bottles of cola Pei order was 75% of total no. of bottles of ginger ale and root beer that she ordered --> {Cola} = 0.75*({Beer} + {Ale}) --> {Beer} + {Ale} = 4/3*{Cola} --> {Cola} + 4/3*{Cola} = 63. We can solve for C. Sufficient.

Answer: B.
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Re: If Pei ordered a total of 63 bottles of Cola, Root Beer and  [#permalink]

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New post 27 Nov 2015, 10:17
Bunuel wrote:
If Pei ordered a total of 63 bottles of Cola, Root Beer and Ginger Ale for a part. How many Cola bottles did she order?

Given: {Cola} + {Beer} + {Ale} = 63.
Question: {Cola} = ?

(1) The no of bottles of root beer Pei order was 80% of bottles of ginger ale that she ordered --> {Beer} = 0.8{Ale} --> 5*{Beer} = 4*{Ale} ({Beer} is a multiple of 4 and {Ale} is a multiple of 5). If {Beer} = 4 and {Ale} = 5, then {Cola} = 54 but if {Beer} = 8 and {Ale} = 10, then {Cola} = 45. Not sufficient.

(2) The no of bottles of cola Pei order was 75% of total no. of bottles of ginger ale and root beer that she ordered --> {Cola} = 0.75*({Beer} + {Ale}) --> {Beer} + {Ale} = 4/3*{Cola} --> {Cola} + 4/3*{Cola} = 63. We can solve for C. Sufficient.

Answer: B.


Question : How did you get from 0.8 Ale to 5 Beer , and then to the 4 ale, beer ? Also, how did you get from 0,75 beer ale to 4/3 cola?
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Re: If Pei ordered a total of 63 bottles of Cola, Root Beer and  [#permalink]

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New post 05 Dec 2015, 17:54
sagnik242 wrote:
Bunuel wrote:
If Pei ordered a total of 63 bottles of Cola, Root Beer and Ginger Ale for a part. How many Cola bottles did she order?

Given: {Cola} + {Beer} + {Ale} = 63.
Question: {Cola} = ?

(1) The no of bottles of root beer Pei order was 80% of bottles of ginger ale that she ordered --> {Beer} = 0.8{Ale} --> 5*{Beer} = 4*{Ale} ({Beer} is a multiple of 4 and {Ale} is a multiple of 5). If {Beer} = 4 and {Ale} = 5, then {Cola} = 54 but if {Beer} = 8 and {Ale} = 10, then {Cola} = 45. Not sufficient.

(2) The no of bottles of cola Pei order was 75% of total no. of bottles of ginger ale and root beer that she ordered --> {Cola} = 0.75*({Beer} + {Ale}) --> {Beer} + {Ale} = 4/3*{Cola} --> {Cola} + 4/3*{Cola} = 63. We can solve for C. Sufficient.

Answer: B.


Question : How did you get from 0.8 Ale to 5 Beer , and then to the 4 ale, beer ? Also, how did you get from 0,75 beer ale to 4/3 cola?


Hi sagnik242,

let me try to help.
Beer = 0.8 Ale
Beer = \(\frac{8}{10}\) Ale
10 Beer = 8 Ale (multiply the entire expression with 10)
5 Beer = 4 Ale (simplify by dividing the entire expression with 2)

same goes with 0,75 beer ale to 4/3 cola. hope that was helpful :D
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Re: If Pei ordered a total of 63 bottles of Cola, Root Beer and  [#permalink]

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New post 21 Dec 2017, 07:47
This question could be very tricky if total number of bottles bought was between 10 and 17. A could be sufficient.


When I solved A, I didn't use any equation. I tried to think logically that Number of cola bottle could be any number if I different number of Ginger ale bottles.

But after looking the official solution, I realized that my thought process for A could be dangerous. I have to actually form equation in this type of situation.
Re: If Pei ordered a total of 63 bottles of Cola, Root Beer and &nbs [#permalink] 21 Dec 2017, 07:47
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