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A perfect cake should have 25% cream and 75% bread. Oman bought materi

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kiran120680
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A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   01 Mar 2019, 00:06
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A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg
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A
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   01 Mar 2019, 03:21
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


5 kg material has been bought with 35% cream and 65% bread
=> Amount of cream = 35% of 5 kg = 1.75 Kgs
=> Amount of bread = 65% of 5 kg = 3.25 Kgs (Another way would be 5-1.75 = 3.25Kgs)

Now we want to convert the ratio from 35%-65% to 25%-75% by buying more bread.
Here the amount of cream remains constant, hence 1.75kgs of cream should be 25% of the total amount.
Hence we need to have 75% of the bread. Now 75% is 3 times 25%, therefore the amount of bread we should have is 3 times the amount of cream

=> 3*1.75 = 5.25 kgs of bread is required

We have 3.25 kgs of bread and hence require 2 extra kgs of bread.

Hence A is the correct answer.
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   01 Mar 2019, 05:52
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


Of the 5 kgs he has bought, 35% is cream.
Cream = 35/100 * 5 = 7/4 kg
Bread = 5 - 7/4 kg = 13/4 kg

The ratio of Cream:Bread should actually be 25:75 = 1:3 so bread should be 3*(7/4) kg = 21/4 kg.
So he should buy another 21/4 - 13/4 = 8/4 = 2 kg of bread.

Answer (A)
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   01 Mar 2019, 10:44
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


5kg has 35% cream or say ; 5*35/100 ; 7/4
and bread 5*65/100 ; 13/4

perfect cake ratio ; 25:75 ; 1:3
so 3*7/4 ; 21/4
kg of bread required ; 21/4-13/4 ; 8/4 ; 2kgs
IMO A
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A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   Updated on: 20 Jun 2019, 10:09
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kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg


We can do it using mixtures concept..

65 _____100
___75___
25_____10

x=(5/25)*10
=2kg

Answer: A

Originally posted by pravalithota on 20 Jun 2019, 08:35.
Last edited by pravalithota on 20 Jun 2019, 10:09, edited 1 time in total.
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   20 Jun 2019, 09:25
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perfect cake has 75% bread i.e. 3/4 ratio
Now current has 65% bread, now say we add x% to make ratio 3/4
Therefore, 65+x/100+x=3/4
x=40
hence 40% more needs to be added.
Now 40% of 5kg= 2kg
Hence A
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   26 Jun 2020, 12:46
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35% of 5 kg=1.75 kg cream
65% of 5 kg=3.25 kg bread
Let the required amount of bread to be added be x kg
so, \(\frac{1.75}{3.25+x}=\frac{25}{75}\)
or, x = 2 kg

Answer: A
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A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   29 Apr 2021, 21:06
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Note that only the percentage of bread is to be increased.

Cream --- 35% of 5kg = \(\frac{7}{4}\) Kg (This is a fixed quantity)

For a perfect cake we need 25% Cream and 75% Bread

This \(\frac{7}{4}\) Kg of cream is 25% of what quantity ?

25% of X = \(\frac{7}{4}\)

\(\frac{1}{4}\) of X = \(\frac{7}{4}\)

X = 7 Kg

We already have 5 Kg of cake material we need 2Kgs more.
We need 2Kgs more bread to make a perfect cake.
Option A
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adityasuresh
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   24 Nov 2022, 08:06
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg

I used weighted average:
A1 = 65
A2 = 100
Aavg = 75
W1 = 5
W2 = ?
\(Weight of bread + weight of cream/Weight of bread \)=\( 5/w2\) =\(100 - 75/75-65 \)
\(5/w2\) =\( 25/10 \)= 10 = 5w2 = w2 = 2
A
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink] A perfect cake should have 25% cream and 75% bread. Oman bought materi   23 Mar 2024, 02:47
 
pravalithota wrote:
kiran120680 wrote:
A perfect cake should have 25% cream and 75% bread. Oman bought material for a 5kg cake with 35% cream and 65% bread. How many more kg of bread should he buy if he wants to make a perfect cake?

A. 2kg
B. 2.5kg
C. 3kg
D. 4kg
E. 5kg

We can do it using mixtures concept..

65 _____100
___75___
25_____10

x=(5/25)*10
=2kg

Answer: A

­Dear pravalithota

Please explain what 100 denotes in above solution. My understanding from above is that in order to get average of 75 from two different entities of 65 and 100, we need 25 units of former and 10 units of latter.
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Re: A perfect cake should have 25% cream and 75% bread. Oman bought materi [#permalink]
23 Mar 2024, 02:47
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