2020 AMC 8

Complete problem set with solutions and individual problem pages

Problem 1 Easy

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?

  • A.

    6

  • B.

    8

  • C.

    12

  • D.

    18

  • E.

    24

Answer:E

Solution 1

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.

 

Solution 2

Since the amount of sugar is twice the amount of lemon juice, Luka uses 3\cdot2=6 cups of sugar.

Since the amount of water is 4 times the amount of sugar, he uses 6\cdot4=\boxed{\textbf{(E) }24} cups of water.

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