Difference between revisions of "2006 AMC 12B Problems/Problem 6"

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== Problem ==
 
== Problem ==
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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?
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<math>
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\text {(A) } 129 \qquad \text {(B) } 137 \qquad \text {(C) } 174 \qquad \text {(D) } 223 \qquad \text {(E) } 411
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</math>
  
 
== Solution ==
 
== Solution ==
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There are <math>25+386=411</math> calories in <math>600</math> grams of lemonade. There are <math>\frac{411}{3}=137\Rightarrow \text{(B)}</math> calories in <math>200</math> grams of lemonade.
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== See also ==
 
== See also ==
 
* [[2006 AMC 12B Problems]]
 
* [[2006 AMC 12B Problems]]

Revision as of 09:40, 14 November 2007

Problem

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?

$\text {(A) } 129 \qquad \text {(B) } 137 \qquad \text {(C) } 174 \qquad \text {(D) } 223 \qquad \text {(E) } 411$

Solution

There are $25+386=411$ calories in $600$ grams of lemonade. There are $\frac{411}{3}=137\Rightarrow \text{(B)}$ calories in $200$ grams of lemonade.


See also

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