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In the kitchen, there was a bowl of berries.

When Billy walked by, he took 1/2 of the berries and 2 extra.

Later Bob walked by, and he took 1/3 of what Billy took and 2 extra berries.

Soon Joe walked by, and took 1/3 of what Bob took and then put 1 of those berries back into the bowl.

Sometime afterward, their mom walked by and saw only 1 berry remaining in the bowl.

How many berries were originally in the bowl?

 Jul 3, 2020
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Let the number of berries in the bowl =B
Billy =1/2B + 2
Bob =1/3*1/2B + 2 =1/6B + 2
Joe =1/3*1/6B - 1=1/18B - 1
 [1/2B+2+1/6B+2+1/18B] =B - 1, solve for B
B = 18 Berries originally in the bowl.
Billy took =9+2=11
Bob took =3+2  =5
Joe took =1 and left 1 in the bowl

 Jul 3, 2020

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