Difference between revisions of "2023 AMC 10B Problems/Problem 1"
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| − | + | ==Solution 1== | |
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| + | 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. | ||
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| + | 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>.) | ||
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| + | Solving, we see that <math>x=\boxed{\textbf{(C) }\dfrac16}.</math> | ||
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| + | ~Technodoggo | ||
Revision as of 14:32, 15 November 2023
Solution 1
We let 
denote how much juice we take from each of the first 
children and give to the 
th child.
We can write the following equation: 
, since each value represents how much juice each child (equally) has in the end. (Each of the first three children now have 
juice, and hte fourth child has 
more juice on top of their initial 
.)
Solving, we see that 
~Technodoggo
