Candies
Ann and Gunther ate a bag of candies. They ate the candies in this order:
1.) Ann ate a seventh of the candies;
2.) Gunther ate a sixth of the remainder;
3.) Ann ate a eighth of the candies remainder;
4.) Gunther ate a fifth of the remainder;
5.) Ann ate a seventh of the remainder;
6.) Gunther ate a sixth of the remainder.
20 candies left over at the end. Gunther ate 2 candies more than Ann. What is the minimum number of candies in the bag?
The answer is 56.
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1 solution
20 is 5/6 so 6/6=24 <---- Gunther took 4.
24 is 6/7 so 7/7=28 <---- Ann took 4.
28 is 4/5 so 5/5=35 <---- Gunther took 7.
35 is 7/8 so 8/8=40 <---- Ann took 5.
40 is 5/6 so 6/6=48 <---- Gunther took 8.
48 is 6/7 so 7/7=56 <---- the total of the bag, Ann took 8.
Gunther took 19 and Ann 17