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

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5. How many cubic feet of lead one-eighth of an inch thick would
be required to line a cistern whose length, breadth, and depth are 7
feet 10 inches, 6 feet 3 inches, 3 feet 4 inches?
6. A cubic foot of copper weighs 4cwt. 3qrs. 241b. 4oz., and can
be drawn into a wire 1 mile 3 furlongs 5 poles long. Find the weight of
copper requisite for a single wire of 50 miles. Find also the area of
a section of the wire.
7. How long is an iron bar that contains a cubic foot of iron when
its breadth is 4- of an inch, and thickness is 1 an inch?
8. Find how many square yards a cubic foot of gold would cover
when beaten out lol9 of an inch thick, and show that its extent
is greater than I,X but less than 4 -r of a square mile.
9. If gold can be beaten out so thin that a grain will form a leaf
of 56 square inches, how many of these leaves will make an inch
thick, the weight of a cubic foot of gold being 10cwt. 951b. Avoirdupois?
XXYIII.
1. If 6 men earn ~7 6s.. d. in 7 days, how much will 10 men
earn in 11- days?
2. If 4 men earn ~4 7s. 6d. by working 5 days of 10 hours each,
how much would 7 men earn in 3 weeks working 8 hours a day?
3. If 7 men and 10 boys earn ~6 a week, and 3 men and 5 boys
earn ~11 in 4 weeks, in what time will 5 men and 4 boys earn ~14?
4. The wages of A and B together r fo 7 days amount to the same
sum as the wages of A alone for 12-$ days. For how many days will
the sum pay the wages of B alone?
5. If 3 men do as much work as 5 women, and 2 women as much
as 5 children; divide between 9 men, 11 women, and 6 children a day's
wages amounting altogether to ~3 5s. ld.
6. The wages of one man, one woman, and three children amount
to 30s. per week. The man and one child earn together 4 times as much
as the woman. The man and three children earn 5 times as much as the
woman. Find the wages of each.
7. If 20 men, 40 women, and 50 children receive among them ~350
for 7 weeks' work, and 2 men receive as much as 3 women or 5
children, what sum does a man, a woman, and a child receive
weekly?
8. Three men are employed on a work, working respectively 8, 9,
10 hours a day, and receiving the same daily wages. After 3 days
each works one hour a day more, and the work is finished in 3 days
more. If the total sum paid for wages be ~2 7s. 61d., how much of it
should each receive?
XXIX.
1. If 100 men can perform a piece of work in 30 days, how many
men can perform another piece of work thrice as large in one-fourth
part of the time?