228 Answers- PUZZLING LEGACIES
The answer is $1,464.oo-a little less than $1,500.00. The legacies, in order,
were $1,296.00, $72.00, $38.00, $34.00, and $18.00. The lawyer's fee would be
$6.00.15. DIVIDING THE LEGACY
The two legacies were $24.00 and $76.00, for if 8 (one-third of 24) be taken
from 19 (one-fourth of76) the remainder will be II.- A NEW PARTNER
We must take it for granted that the sum Rogers paid, $2,500.00, was one-
third of the value of the business, which was consequently worth $7,500.00
before he entered. Smugg's interest in the business had therefore been
$4,500.00 (l\-2 times as much as Williamson), and Williamson's $3,000.00. As
each is now to have an equal interest, Smugg will receive $2,000.00 of Rogers's
contribution, and Williamson $500.00.- POCKET MONEY
When he left home Tompkins must have had $2.10 in his pocket.- DISTRIBUTION
The smallest number originally held by one person will be (in cents) one
more than the number of persons. The others can be obtained by continually
doubling and deducting one. So we get their holdings as 10, 19,37, 73, 145,
289,577, 1,153, and 2,305. Let the largest holder start the payment and work
backwards, when the number of cents in the end held by each person will be
29 or 512-that is, $5.12.
- REDUCTIONS IN PRICE
It is evident that the salesman's rule was to take off three-eighths of the price
at every reduction. Therefore, to be consistent, the motorcycle should be
offered at $156.25 after the next reduction.