Question 1135040
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The total of 6 times as many has to be the 24 total, because that is the only one of the totals that is divisible by 6.  So Anna baked 4 on Saturday and 20 on Sunday for her total of 24.<br>
The total of 5 times as many has to be the 25 total, because that is the only one of the totals that is divisible by 5.  So Berta baked 5 on Saturday and 20 on Sunday for her total of 25.<br>
The total of 4 times as many has to be either the 24 or the 28 total; but Anna already has the 24 total.  So Elisa baked 7 on Saturday and 21 on Sunday for her 28 total.
The total of 3 times as many has to be the 27 total; so David baked 9 on Saturday and 18 on Sunday to get his total of 27.
And so the total of 2 times as many has to be the 26 total; so Charlie baked 13 on Saturday and another 13 on Sunday for his total of 26.<br>
ANSWER: Charlie baked the most cookies (13) on Saturday.<br>
The above is a "brute force" solution, where we determine all the numbers of cookies that each person baked on each day.  The problem can of course be solved much faster and with much less effort if we just want to get to the answer as fast as possible.<br>
To find the answer almost immediately, we can look at the divisors of each of the 5 totals.  The total 26 has only two divisors (other than 1 and itself) -- 2 and 13.  So the 26 total has to be 2 times the Saturday total; that leads immediately to Charlie as the answer to the question.