Ken played golf yesterday and shot 107. Considering that he normally shoots in t

Question

Ken played golf yesterday and shot 107. Considering that he normally shoots in the low 80's or high 70's, this round of golf really frustrated him. It was so frustrating that he decided to buy new golf clubs. But first he had to give his old golf clubs away. He gave half of his golf clubs, plus half a club more, to Daniel. Then he gave half of his remaining golf clubs to Gary. Then he gave half of his remaining golf clubs and half a club more to Will. This left Ken with one club (his putter), which he decided to keep. How many golf clubs did Ken start with before giving them away?

Explanation / Answer

lets say Ken have X golf clubs.

X/2 +1/2 = Daniel

1/2 (x/2 -1/2) = Gary

so remaining clubs are

X - (x/2 + 1/2 ) - 1/2 (x/2 -1/2) = X - x/2 -1/2 -x/4 + 1/4 = x/4 -1/4

Will = 1/2 (X/4 -1/4) + 1/2

remeaining clubs = 1/2 (x/4 - 1/4) -1/2 = 1

x/4 -1/4 = 3

x -1= 12

x = 13

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