Elementary arithmetic, with brief notices of its history... by Robert Potts.

17

10. What fraction of ~1 must be added to - of X of one guinea, in
order that the sum may be one pound?
11. Express the difference of 9 of ~1 and 2 of a guinea in the
fraction of a crown.
12. What fraction of a crown is the difference between 3 of 7 of
one guinea and - S of of ~1?
13. A ship is worth ~18,000, and a person who owns - of it sells
3 of his share. What is the value of his remaining share?
14. Out of ~4 7s. 6d. one third is paid to A and one seventh to
B; after this four elevenths of the remainder is paid to A4 and the
rest to B: find the sums respectively received by A and B.
XV.
1. Explain how the products and quotients of concrete fractions
are to be interpreted.
2. Multiply - of 4- of ~3 by - of 24, and find its exact value.
3. Multiply ~6 lls. 37d. by 137.
4. By what number must one ten-millionth of one pound be multiplied, in order that the product may be equal to one farthing?
5. Multiply 4s. 72d. by 3-, and express the result in the fraction
of a pound.
6. Divide ~99 17s. Old. by 19-.
7. Divide of of 12s. by of.
8. Divide ~7h by 15-s. and state the nature of the quotient.
9. Divide the sum of 4 of one pound and < of one guinea by the
difference of 3 of a crown and - of one shilling.
10. Add - to 4, subtract the sum from -, multiply this difference
by -, divide the product by 9, and supposing the original unity tc,
have been one guinea, find the value of the resulting fraction in
pounds, shillings, and pence.
11. Express ~3,893 15s. 6d. and ~3 17s. 11-d. in the denomina —
tion of pounds, and find the quotient of the former divided by the
latter, and state its nature.
12. In the new metric system of money, it has been proposed that
the sixpence shall consist of 25 instead of 24 farthings. If a workingman receive for his wages 17s. 6d. a week, show whether the change
will be a gain or loss to him weekly, and how much in the year.
XVI.
1. Any sum of money can be expressed in pounds, twelfths of a
pound, and a proper fraction of a twelfth; and five per cent. on the
same may be immediately obtained by considering the pounds as
shillings, the twelfths as pence, and the fraction of a twelfth as the.
same fraction of a penny. Explain the reason of this. Hence find
5 per cent. on ~688 7s. 6d.
2. How much per cent. is ls. 2d. in the pound?