Difference between revisions of "2023 AMC 10B Problems/Problem 1"

Latest revision as of 18:48, 15 November 2023

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-==Solution 1==
+#redirect[[2023 AMC 12B Problems/Problem 1]]
-We let <math>x</math> denote how much juice we take from each of the first <math>3</math> children and give to the <math>4</math>th child.
-We can write the following equation: <math>1-x=\dfrac13+3x</math>, since each value represents how much juice each child (equally) has in the end. (Each of the first three children now have <math>1-x</math> juice, and hte fourth child has <math>3x</math> more juice on top of their initial <math>\dfrac13</math>.)
-Solving, we see that <math>x=\boxed{\textbf{(C) }\dfrac16}.</math>
-~Technodoggo