2020 AMC 8 第 1 题

先试着解答 2020 AMC 8 第 1 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2020 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

1.

卢卡正在制作柠檬水,在学校募捐活动中出售。他的配方需要的水是糖的 44 倍,糖是柠檬汁的二倍。他用了 33 杯柠檬汁。他需要多少杯水?
Luka is making lemonade to sell at a school fundraiser. His recipe requires 44 times as much water as sugar and twice as much sugar as lemon juice. He uses 33 cups of lemon juice. How many cups of water does he need?
66
88
1212
1818
2424
答案:E
知识点:比与比例
小提示:
水量是柠檬汁量的 4⋅24\cdot2 倍
Water is 4⋅24\cdot2 times the lemon juice
大提示:
先由柠檬汁量求糖的杯数
First find the cups of sugar from the lemon juice
视频讲解:
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文字解答:
糖是柠檬汁的二倍,所以卢卡需要 2⋅3=62\cdot3=6 杯糖。水是糖的 44 倍,所以卢卡需要 4⋅6=244\cdot6=24 杯水。
正确答案是 E。
Since Luka needs twice as much sugar as lemon, he needs 2⋅3=62\cdot3=6 cups of sugar. Since Luka also needs 44 times as much water as sugar, he needs 4⋅6=244\cdot6=24 cups of water.
Thus, the correct answer is E.
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