2020 AMC 8 Problem 1

Below is the video solution and professionally curated solution for Problem 1 of the 2020 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.

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Concepts:ratio and proportion

Difficulty rating: 370

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?

$6$

$8$

$12$

$18$

$24$

Video solution:

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Written solution:

Since Luka needs twice as much sugar as lemon, he needs $2\cdot3=6$ cups of sugar. Since Luka also needs $4$ times as much water as sugar, he needs $4\cdot6=24$ cups of water.

Thus, the correct answer is E.

Full Exam Problem 2 →

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