AMC12 2006 B

AMC12 2006 B · Q6

AMC12 2006 B · Q6. It mainly tests Fractions, Averages (mean).

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?

Francesca 使用 100 克柠檬汁、100 克糖和 400 克水制作柠檬水。100 克柠檬汁含有 25 卡路里，100 克糖含有 386 卡路里。水不含卡路里。她的柠檬水 200 克含有多少卡路里？

(A) 129 129

(B) 137 137

(D) 223 223

(E) 411 411

Answer

Correct choice: (B)

正确答案：（B）

Solution

Francesca makes a total of $100+100+400=600$ grams of lemonade, and in those $600$ grams, there are $25$ calories from the lemon juice and $386$ calories from the sugar, for a total of $25+386=411$ calories per $600$ grams. We want to know how many calories there are in $200=600/3$ grams, so we just divide $411$ by $3$ to get $137\implies\boxed{(\text{B})}$.

Francesca 一共制作了 $100+100+400=600$ 克柠檬水，在这 $600$ 克中，柠檬汁提供 $25$ 卡路里，糖提供 $386$ 卡路里，总计每 $600$ 克有 $25+386=411$ 卡路里。我们要知道 $200=600/3$ 克中有多少卡路里，所以将 $411$ 除以 $3$ 得到 $137\implies\boxed{(\text{B})}$。

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