2018 AMC 10A Problems/Problem 2
Contents
Problem
Liliane has more soda than Jacqueline, and Alice has more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alice have?
Liliane has more soda than Alice.
Liliane has more soda than Alice.
Liliane has more soda than Alice.
Liliane has more soda than Alice.
Liliane has more soda than Alice.
Solution 1
Let's assume that Jacqueline has gallon(s) of soda. Then Alice has gallons and Liliane has gallons. Doing division, we find out that , which means that Liliane has more soda. Therefore, the answer is .
Solution 2
WLOG, lets use gallons instead of . When you work it out, you get gallons and gallons. We have is of . Thus, we reach .
~Ezraft
Solution 3
If Jacqueline has gallons of soda, Alice has gallons, and Liliane has gallons. Thus, the answer is Liliane has more soda. Our answer is .
~lakecomo224 (minor edits made by <B+)
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See Also
2018 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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All AMC 10 Problems and Solutions |
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