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# Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400  [#permalink]

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26 Mar 2019, 05:31
00:00

Difficulty:

25% (medium)

Question Stats:

85% (02:17) correct 15% (02:58) wrong based on 20 sessions

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Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade?

(A) 129
(B) 137
(C) 174
(D) 223
(E) 411

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Math Expert
Joined: 02 Aug 2009
Posts: 8006
Re: Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400  [#permalink]

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26 Mar 2019, 06:41
Bunuel wrote:
Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade?

(A) 129
(B) 137
(C) 174
(D) 223
(E) 411

So there is 25+386 calories in 100+100+400 or 600 calories.
we are looking for calories in 200 ml, so amount of calories = $$(25+386)*\frac{200}{100+100+400}=\frac{411}{3}=137$$

B
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Location: India
Concentration: Sustainability, Marketing
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Re: Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400  [#permalink]

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26 Mar 2019, 11:36
Bunuel wrote:
Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade?

(A) 129
(B) 137
(C) 174
(D) 223
(E) 411

total calories in 600 gms lemonade ; 25+386 ; 411
so per gm lemonade calorie ; 411/600
and in 200 gms ; 411*200/600 ; 137
IMO b
Re: Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400   [#permalink] 26 Mar 2019, 11:36
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