2020 AMC 8 Problem 1

Attempt Problem 1 of the 2020 AMC 8 below, then check your answer against the video solution and professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

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
Answer: E
Concepts:ratio and proportion
Small hint:
Water is 4⋅24\cdot2 times the lemon juice
Big hint:
First find the cups of sugar from the lemon juice
Video solution:
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Written solution:
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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