Difference between revisions of "2020 AMC 8 Problems/Problem 1"
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| − | Let <math>W, S,</math> and <math>L</math> represent the number of cups of water, sugar, and lemon juice Luka needs for his recipe. We are given that <math>W=4S</math> and <math>S=2L</math>. Since <math>L=3</math>, it follows that <math>S=6</math>, which in turn implies that <math>W=24 \implies\boxed{\textbf{(E) }24}</math>.<br> | + | Let <math>W, S,</math> and <math>L</math> represent the number of cups of water, sugar, and lemon juice Luka needs for his recipe, respectively. We are given that <math>W=4S</math> and <math>S=2L</math>. Since <math>L=3</math>, it follows that <math>S=6</math>, which in turn implies that <math>W=24 \implies\boxed{\textbf{(E) }24}</math>.<br> |
~jmansuri | ~jmansuri | ||
Revision as of 03:39, 18 November 2020
Luka is making lemonade to sell at a school fundraiser. His recipe requires 
times as much water as sugar and twice as much sugar as lemon juice. He uses 
cups of lemon juice. How many cups of water does he need?
Solution
Luka will need 
cups of sugar and 
cups of water. The answer is 
.
Solution 2
Let 
and 
represent the number of cups of water, sugar, and lemon juice Luka needs for his recipe, respectively. We are given that 
and 
. Since 
, it follows that 
, which in turn implies that 
.
~jmansuri
See also
| 2020 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by First problem |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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