AMC8 2020

AMC8 2020 · Q1

AMC8 2020 · Q1. It mainly tests Fractions, Ratios & proportions.

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 正在制作柠檬水在学校筹款活动上出售。他的配方要求水的量是糖的 4 倍，糖的量是柠檬汁的 2 倍。他使用了 3 杯柠檬汁。他需要多少杯水？

(A) 6 6

(B) 8 8

(D) 18 18

(E) 24 24

Answer

Correct choice: (E)

正确答案：（E）

Solution

We have $\text{water} : \text{sugar} : \text{lemon juice} = 4\cdot 2 : 2 : 1 = 8 : 2 : 1,$ so Luka needs $3 \cdot 8 = \boxed{\textbf{(E) }24}$ cups.

我们有 $\text{water} : \text{sugar} : \text{lemon juice} = 4\cdot 2 : 2 : 1 = 8 : 2 : 1,$ 所以 Luka 需要 $3 \cdot 8 = \boxed{\textbf{(E) }24}$ 杯。

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