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A number is called "wise" if it has exactly 5 positive integer factors. What percent of the first 20 positive integers are "wise"


James took 2/5 of the wrapped taffy from a large candy box. Bill removed 2/3 of the remaining taffy. If Bill removed 26 pieces of taffy from the box, how many pieces of taffy were in the box before James took any?

2007-08-05 15:04:46 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

thats difficult but ill try
the first answer is 5% the only "wise" number is 16 (factors of 1, 2, 4, 8, and 16)

James took 2/5 (26) reduced the candy down to 39
Bill took 2/3 of 39 which = 36
The answer is 65

2007-08-08 10:45:36 · answer #1 · answered by ? 2 · 1 0

None. 0 percent. Even 20 has only 4 positive integer factors. And 12 has 4 too and so with 16. So there isn't any wise number.

2) Let the total wrapped taffy be= WT
Let the remaining taffy be= RT
2/3 x RT=26
Cross multiply
26 x 3=2(RT)
78=2(RT)
Therefore RT=78/2
=39
James took 2/5 of the total taffy so therefore the percentage of the remaining taffy is= 5/5-2/5=
=3/5
Therefore 3/5 of the total wrapped taffy= RT or 39
=3/5 x WT=39
Cross multiply
39 x 5=3(WT)
196=3(WT)
196/3=WT
Therefore WT=65
The total number of taffies before James took any=65 pieces of taffy.

2007-08-05 22:35:44 · answer #2 · answered by LiveLuv&Laugh 3 · 1 0

1) the first answer is 5% (1 of 20) the only "wise" number is 16 (factors of 1, 2, 4, 8, and 16)

2) The answer is 65
James took 2/5 (26) reduced the candy down to 39
Bill took 2/3 of 39 which = 36 as the puzzle states

2007-08-05 22:15:27 · answer #3 · answered by carolina crush 2 · 1 0

The first part makes no sense to me.

Bill's 26 pieces represent 2/3 of the remainder.
So 1/3 would be 13, meaning that James left 39.
Since James took 2/5, he left 3/5 which is the 39.
So 1/5 would be 13, 2/5 are 26, 5/5 is 65.
There were 65 pieces originally.

2007-08-05 22:13:55 · answer #4 · answered by Robert S 7 · 1 0

how is any1 supposed 2 figure this out??? i mean seriously!!!! y would any1 want 2 even try 2 figure this out????? its summer! DUH!!!!!!!!!!

2007-08-05 22:08:36 · answer #5 · answered by Anonymous · 0 1

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