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Subj:.....Party
Favors (S594)
From: Puzzles And Brain Teasers on 6/5/2008
Source: http://www.apuzzlezone.com/adailypuzzle/06-06-08.html
Sheila, buying
favors for a party she was giving, was
having difficulty
deciding on how many more favors to buy.
She started
out by planning to give everyone three favors,
but when she
divided the favors she had by 3, she had one
left over;
when she divided by 4, she had two left over;
by 5, she had
three left over; and by 6, she had four left
over.
Since she was going to have ten guests, this would
not work.
She counted the favors and realized that, by
adding two
more, she could divide the favors evenly. What
is the smallest
number of favors she could already have
bought to meet
those specifications?
THE SOLUTION
Sheila had fifty-eight
favors and planned to buy two more.
.
.
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