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Intern  Joined: 08 Jan 2015
Posts: 25
Cream costs twice as much as skim milk.  [#permalink]

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4 00:00

Difficulty:   25% (medium)

Question Stats: 73% (01:36) correct 27% (01:46) wrong based on 140 sessions

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Cream costs twice as much as skim milk. A certain brand of milk is 1/4 cream and 3/4 skim milk. What fraction of the cost of this brand is due to the cream?

a) 1/3
b)1/2
c) 2/5
d) 3/5
e) 3/4
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
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Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Cream costs twice as much as skim milk.  [#permalink]

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2
1
Hi Awli,

This question can be solved Algebraically or by TESTing VALUES. Here's how to TEST VALUES:

We're told that Cream costs twice as much as Skim Milk.

M = cost of Skim Milk = $2 C = cost of Cream =$4

We're told that a certain brand of milk is 1/4 cream and 3/4 skim milk. In real simple terms, that means for every "part" of cream there are 3 "parts" of skim milk.

Brand milk =
(1 part cream)($4) =$4
(3 parts skim milk)($2) =$6
Total price = $4 +$6 = $10 The question asks for the part of the price that is due to the CREAM. Cream =$4
Total = $10$4/$10 = 4/10 = 2/5 Final Answer: GMAT assassins aren't born, they're made, Rich _________________ Intern  Joined: 08 Jan 2015 Posts: 25 Re: Cream costs twice as much as skim milk. [#permalink] ### Show Tags EMPOWERgmatRichC wrote: Hi Awli, This question can be solved Algebraically or by TESTing VALUES. Here's how to TEST VALUES: We're told that Cream costs twice as much as Skim Milk. M = cost of Skim Milk =$2
C = cost of Cream = $4 We're told that a certain brand of milk is 1/4 cream and 3/4 skim milk. In real simple terms, that means for every "part" of cream there are 3 "parts" of skim milk. Brand milk = (1 part cream)($4) = $4 (3 parts skim milk)($2) = $6 Total price =$4 + $6 =$10

The question asks for the part of the price that is due to the CREAM.

Cream = $4 Total =$10
$4/$10 = 4/10 = 2/5

GMAT assassins aren't born, they're made,
Rich

Thank you very much!
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16351
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Cream costs twice as much as skim milk.  [#permalink]

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Hi Awli,

I'm glad that you found the explanation helpful. I mentioned that this question could also be solved with Algebra, so here's that approach:

We're told that Cream costs twice as much as Skim Milk.

P = price of skim milk
2P = price of cream

We're told that a certain brand of milk is 1/4 cream and 3/4 skim milk:

X = total ounces of milk

(1/4)(X)(2P) = the part of the cost that is cream
(3/4)(X)(P) = the part of the cost that is skim milk

Cost of Milk =
(1/4)(X)(2P) + (3/4)(X)(P) =
(1/2)(XP) + (3/4)(XP) =
(5/4)(XP)

The question asks what fraction of the cost was from the cream:

[(1/2)(XP)]/[(5/4)(XP)]

Cancel out the XPs...

(1/2)/(5/4)

Multiply the numerator and denominator by 4....

2/5

GMAT assassins aren't born, they're made,
Rich
_________________
Intern  Joined: 08 Jan 2015
Posts: 25
Re: Cream costs twice as much as skim milk.  [#permalink]

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EMPOWERgmatRichC wrote:
Hi Awli,

I'm glad that you found the explanation helpful. I mentioned that this question could also be solved with Algebra, so here's that approach:

We're told that Cream costs twice as much as Skim Milk.

P = price of skim milk
2P = price of cream

We're told that a certain brand of milk is 1/4 cream and 3/4 skim milk:

X = total ounces of milk

(1/4)(X)(2P) = the part of the cost that is cream
(3/4)(X)(P) = the part of the cost that is skim milk

Cost of Milk =
(1/4)(X)(2P) + (3/4)(X)(P) =
(1/2)(XP) + (3/4)(XP) =
(5/4)(XP)

The question asks what fraction of the cost was from the cream:

[(1/2)(XP)]/[(5/4)(XP)]

Cancel out the XPs...

(1/2)/(5/4)

Multiply the numerator and denominator by 4....

2/5

GMAT assassins aren't born, they're made,
Rich

Thank you again EMPOWERgmatRichC !
Senior Manager  Joined: 07 Aug 2011
Posts: 491
GMAT 1: 630 Q49 V27
Re: Cream costs twice as much as skim milk.  [#permalink]

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3
Awli wrote:
Cream costs twice as much as skim milk. A certain brand of milk is 1/4 cream and 3/4 skim milk. What fraction of the cost of this brand is due to the cream?

a) 1/3
b)1/2
c) 2/5
d) 3/5
e) 3/4

Ratio of Cream:Milk = 1:3

3 portions of milk will cost 3x
1portion of cream will cost 2x

So 2x/(2x+3x)
2/5
SVP  B
Joined: 06 Nov 2014
Posts: 1865
Re: Cream costs twice as much as skim milk.  [#permalink]

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Awli wrote:
Cream costs twice as much as skim milk. A certain brand of milk is 1/4 cream and 3/4 skim milk. What fraction of the cost of this brand is due to the cream?

a) 1/3
b)1/2
c) 2/5
d) 3/5
e) 3/4

Let Cream = C and Skim milk = S
Given that C = 2S
Let there be 4 liters of milk => 1 liter is cream and 3 liters are skim milk.

Let cost of skim milk = $10 => Cream =$20.
Total price = 1*$20 + 3*$10
= 50
Hence proportion of cream = 20/50
=2/5
Hence option (C).

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Re: Cream costs twice as much as skim milk.  [#permalink]

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2
Let the price of milk = 1, then the price of cream = 2

Cost of milk in brand $$= 1 * \frac{3}{4} = \frac{3}{4}$$

Cost of cream in brand $$= 2 * \frac{1}{4} = \frac{1}{2}$$

Total cost $$= \frac{1}{2} + \frac{3}{4} = \frac{5}{4}$$

Required fraction$$= \frac{\frac{1}{2}}{\frac{5}{4}} = \frac{2}{5}$$

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Posts: 1241
Cream costs twice as much as skim milk.  [#permalink]

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with no c, let total cost=4s
c=2s
with 1/4 c, total cost is 3s+2s=5s
c fraction of total cost=2s/5s=2/5
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Re: Cream costs twice as much as skim milk.  [#permalink]

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_________________ Re: Cream costs twice as much as skim milk.   [#permalink] 27 May 2019, 20:03
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