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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
­Thank You for pointing out the error. :)
I mistakenly combined it with the 2nd question that the mixture will contain three or more ingredients.:facepalm_man:
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
??Minerals to be kept at 10%
Possible scenarios:
1. Mix A,B,C,D,E in the ratio 1:1:1:1:1 average mineral % =10%

The mixture cannot contain four ingredients. - No

why ?
remove b = 10 percent mineral
rest mineral = 40/4 =10. one more way.
remove c = 40/4=10 . one more way .
(25+5+0 )/3=10 % mineral
why the answer is no ? 4 ways to get 10% mineral.
please help.
there are
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
Minerals to be kept at 10%
Possible scenarios:
1. Mix A,B,C,D,E in the ratio 1:1:1:1:1 average mineral % =10%

The mixture cannot contain four ingredients. - No

why ?
remove b = 10 percent mineral
rest mineral = 40/4 =10. one more way.
remove c = 40/4=10 . one more way .
(25+5+0 )/3=10 % mineral
why the answer is no ? 4 ways to get 10% mineral.
please help.
there are
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
Minerals to be kept at 10%
Possible scenarios:
1. Mix A,B,C,D,E in the ratio 1:1:1:1:1 average mineral % =10%

The mixture cannot contain four ingredients. - No

why ?
remove b = 10 percent mineral
rest mineral = 40/4 =10. one more way.
remove c = 40/4=10 . one more way .
(25+5+0 )/3=10 % mineral
why the answer is no ? 4 ways to get 10% mineral.
please help.
there are 4 ways
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
bethebest96 wrote:
Minerals to be kept at 10%
Possible scenarios:
1. Mix A,B,C,D,E in the ratio 1:1:1:1:1 average mineral % =10%

The mixture cannot contain four ingredients. - No

why ?
remove b = 10 percent mineral
rest mineral = 40/4 =10. one more way.
remove c = 40/4=10 . one more way .
(25+5+0 )/3=10 % mineral
why the answer is no ? 4 ways to get 10% mineral.
please help.
there are

­The question is whether the mixture can contain 4 ingredients or not. It is not asking whether there are 4 ways to get 10% mineral in the mixture.
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­­The table below gives the composition of five ingredients in terms o [#permalink]
2
Kudos
My Explanation (Please correct me if I am wrong, or award kudos if it helps)

"Ms Terrence, a food nutritionist, has recommended the percentage of minerals in the mixture to be exactly 10%."
Possible Mixtures (1:1:1), lets say 100:100:100
1) B (10), C(10) === 20/200 (10%)
2) A(0) ,B(10) ,C(10) ,D(5) ,E(25)=== 50/500 (10%)
3) A(0), D(5), E(25) ===30/300 (10%)
4)A(0) ,C(10) ,D(5) ,E(25) === 40/400 (10%) 
5) A(0) ,B(10),D(5),E(25) ===40/400 (10%)

STATEMENT 1)There is only one way to choose an ingredient or a mixture of ingredients so as to have more than 20% Fat in it.
ANSWER:

a) mixture B+C (Fat= 25%)
b) Ingredient C (Fat = 40%) (keeping mineral 10%)
SO, statement is False, Hence NO

2)The percentage of carbohydrate will always be more than 40% in a mix containing three or more ingredients.
ANSWER: For Mixture (A,C,D,E) carbohydrate is exactly 40% (90+20+10+40)/4...
Statement is FALSE, Hence NO

3)The mixture cannot contain four ingredients.
ANSWER: It can contain 4 ingredients
a) A,C,D,E
b) A,B,D,E
Statement is FALSE, Hence NO­­
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
­There is only one way to choose an ingredient or a mixture of ingredients so as to have more than 20% Fat in it. => No

D:
+) Fat: 40 > 20
+) Mineral: 20

B+C:
+) Fat: \(\frac{10 + 40}{2} = \frac{50}{2} = 25 > 20\)
+ Mineral: \(\frac{10 + 10}{2} = 10\)


The percentage of carbohydrate will always be more than 40% in a mix containing three or more ingredients. => No

(40% of Fat in
- 3 ingredient mixture: 120
- 4 ingredient mixture: 160
- 5 ingredient mixture: 200)

A+ C + D + E:
+) Carbonhydrate: 90 + 20 + 10 + 40 = 160, not > 160
+) Mineral: \(\frac{0 + 10 + 5 + 25}{4} = \frac{40}{4} = 10\) => meet Ms. T's recommendation


The mixture cannot contain four ingredients. => No

A+ C + D + E:
+) Mineral: \(\frac{0 + 10 + 5 + 25}{4} = \frac{40}{4} = 10\) => meet Ms. T's recommendation
 ­
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Re: ­­The table below gives the composition of five ingredients in terms o [#permalink]
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