Difference between revisions of "2024 AMC 8 Problems/Problem 8"

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==Problem==
 
==Problem==
  
==Solution 1==
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==Solution 1== (BRUTE FORCE)
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How many values could be on the first day? Only <math>2. The second day, you can either add 3, or double, so you can have </math>5, or <math>4. For each of these values, you have 2 values for each. For </math>5, you have <math>10 or </math>8, and for <math>4, you have </math>8 or <math>7. Now, you have 2 values for each of these. For </math>10, you have <math>13 or </math>20, for <math>8, you have </math>16 or 11, for 8, you have 16 or 11, and for 7, you have 14 or 10.

Revision as of 16:31, 25 January 2024

Problem

==Solution 1== (BRUTE FORCE) How many values could be on the first day? Only $2. The second day, you can either add 3, or double, so you can have$5, or $4. For each of these values, you have 2 values for each. For$5, you have $10 or$8, and for $4, you have$8 or $7. Now, you have 2 values for each of these. For$10, you have $13 or$20, for $8, you have$16 or 11, for 8, you have 16 or 11, and for 7, you have 14 or 10.