AMC 8 2020 Problem 1
AMC8 2020 年第 1 题
比与比例★☆☆☆☆
Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?
Luka 正在做柠檬水，准备在学校的募捐会上出售。他的配料表需要的水是糖的四倍，糖是柠檬汁的两倍。他用了 3 杯柠檬汁。他需要多少杯水？
- A.6
- B.8
- C.12
- D.18
- E.24
正确答案 · Correct Answer
E
解析 · Solution
Solution 1
The recipe requires twice as much sugar as lemon juice, so Luka needs 2 ⋅ 3 = 6 2⋅3=6 cups of sugar. The recipe requires 4 4 times as much water as sugar, so Luka needs 4 ⋅ 6 = 24 4⋅6=24 cups of water. 𝑂 𝑅 OR The recipe requires 4 4 times as much water as sugar and twice as much sugar as lemon juice. This means that Luka needs 4 ⋅ 2 = 8 4⋅2=8 times as much water as lemon juice. The amount of water he needs is 8 ⋅ 3 = 24 8⋅3=24 cups. Answer: 𝐸 E .
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