A commercial traveller handed a merchant upon whom he had called a
portrait of his sweetheart in mistake for his business card, saying
that he represented that establishment. The merchant examined it
carefully, remarked that it was a fine establishment, and returned it
to the astonished and blushing traveller with the hope that he would
soon be admitted into partnership.
180. A man and a boy being paid for certain days’ work, the man
received 27s., and the boy, who had been absent 3 days out of the
time, received 12s. Had the man, instead of the boy, been absent the
3 days they would both have claimed an equal sum. Find out the wages
of each per day.
181. The extremes of an arithmetical series are 21 and 497, and the
number of terms is 41. What is the common difference?
182. A wine which contains 7½ per cent. of spirit is frozen, and
the ice which contains no spirit being removed the proportion of
spirit in the wine is increased by 8¾ per cent. How much water in
the shape of ice was removed from 504 gallons of the mixture?