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A manufacturer employed 20 men. The daily wages of these men were as follows: Five received $300 each; five received $2.50 each; five received $2.00 each; and five received $1.50 each.

(a) Find the whole amount paid to these men each day. (b) Find the average daily wages of the men.

(c) Find the amount paid per week to the men if every man worked every day except Sunday.

(d) Find the amount paid for the month of January, if the month began on Monday and every man was present every day except the Sundays of the month.

(e) Divide 336 by 44.

(Change to

ths.)

Story.

(f) Divide 336 by 4.8.

(336.0 4.8?) Story.

Compare the answers to problems (e) and (f).

(g) Bought a ream of paper for $2.00 and sold it at 184 per quire. How much was my gain?

(h) Bought a box (1 gross) of pens for 754 and sold them at the rate of 4 pens for 3 cents. How much did I gain? (i) If 10 bushels of potatoes cost $3.50, how much will 15 bu. cost at the same rate?

scale

1. Draw a diagram of a piece of land 32 rods by 25 rods, in. to a rod. The diagram is inches long and

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(j) How many square rods in the piece of land described in problem 1? (k) How many acres? (1) The perimeter of the field is how many rods? (m) How much will it cost to build a fence around it at 35¢ a rod? (n) How much will it cost to plow it at $1.25 an acre?

2. 7 is

of 25. 7 twenty-fifths are hundredths.

MISCELLANEOUS PROBLEMS.

1. A woman exchanged 31⁄2 lb. of butter at 20¢ a pound for sugar at 54 a pound. She received pounds of sugar. (a) A man exchanged 9 cords of wood @ $4.50 a cord for coal at $6.75 a ton. How many tons of coal did he receive? (b) How many pounds of coal did he receive? (c) How many loads of 3000 lbs. each did he receive?

2. The side of a square measures 5 ft. 8 in.; the perimeter of the square is

feet

inches.

(d) The side of a square measures 47 ft. 10 in. the measurement of the perimeter of the square?

What is

3. An estate was divided among a widow and four chil- ̈ dren; the widow received 1 third of the estate; each child received 1 fourth of what remainded after the widow had received her share; each child received

estate.

of the

(e) The estate mentioned in problem 3 was worth $7140. How much did the widow receive? (f) How much did all the children together receive? (g) What each child received was equal to what part of what the widow received?

4. The width of an oblong is 8 inches; its length is twice its width; its perimeter is inches; its area is square inches.

(h) The width of a piece of land in the shape of an oblong is 32 rods; its length is twice its width. How many rods of fence required to enclose it? (i) How much will the fence cost at 35¢ a rod? (j) How many square rods in the piece? (k) How many acres in the piece? (1) What is it worth at $27.50 an acre?

5. At $1.40 a yard, 51 yd. of carpet cost.

(m) At $1.28 a yard, how much will 274 yd. of carpet cost?

is

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1. The sum of all the odd numbers from 1 to 7 inclusive

; of all the even numbers from 2 to 8 inclusive, (a) Add all the odd numbers from 1 to 37 inclusive. (b) Add all the even numbers from 2 to 38 inclusive.

2. 5+ 4 + 6 +7+3+8+6+5+4+3+ 5+ 6+ 3+ 7+5+9-50

=

(e) 9328 × 46

=

(g)

3896 × 52 =

(i)

2543 × 69 =

(k)

963 × 245 = (m) 831 × 306 = (0) 673 × 250

=

(c) From the sum of 9864, 792, and 8756, subtract 4598. (d) Multiply 8754 by 27. (f) Multiply 5964 by 38. (h) Multiply 3875 by 45. (j) Multiply 874 by 126. (1) Multiply 556 by 208. (n) Multiply 734 by 160 (p) Divide 7618 by 52. (r) Divide 9351 by 54. (t) Divide 9636 by 55. (v) Divide 7532 by 56. (x) Divide 10336 by 57. (z) Divide 3960 by 27.

=

=

(q) 12551 ÷ 49 =
(s) 11292 48
(u) 9545 ÷ 46
(w) 10635 ÷ 45
(y) 10505 ÷ 44 =
8757 ÷ 27

=

(aa)

=

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*TO THE TEACHER.-If pupils are inaccurate in their work in simple numbers, give them daily practice in exercises similar to those appearing upon this page. Lead the pupils to feel that nothing short of perfect accuracy is highly commendable. A "90% paper" in arithmetic is a failure. A "90% accountant" is worthless.

COMMON FRACTIONS.

1. Add 1, 4, and . The 1. c. m. of 9, 4, and 6 is (a) Add 346%, 375, 4861, 296, and 855%.

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A locomotive moved at the rate of 493 miles an hour: (p) How far did it move in 4 hours? (q) In 5 hours? (r) How far did it move in 4 of an hour? (s) In & of an hr.? (t) How far did it move in 41 hours? (u) In 53 hours? 13. If of a yard of print is sufficient for a child's apron, aprons. 88

8 yards are sufficient for

(v) 79 yards divided by 21 yards.

*Do not change 19 to sixths. Say, rather, 11; 1 third of 13 (7) is 18.

=

third of 191 is 6, with a remainder of

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(1) Tell the meaning of each of the following, (2) solve, and (3)

tell a suggested number story.

(a) Multiply $345 by .7.
(c) Multiply $345 by .08.
(e) Multiply $345 by 3.28.
(g) Multiply $345 by .025.
(i) Divide $648 by $9.

(k) Divide $648 by $.9.

(b) Multiply $345 by 5.7.
(d) Multiply $345 by .28.
(f) Multiply $345 by .005.
(h) Multiply $345 by .325.
(j) Divide $648 by 9.
(1) Divide $648 by $.09.

(m) Find the cost of 7.2 tons of coal at $4.75 a ton.
(n) I paid $38.25 for coal at $4.50 per ton.

tons did I buy?

How many

(0) I paid $663 for 156 tons of coal. What was the price per ton?

* The pupil will probably need a pencil in the solution of some of the problems in the first fourteen lines. After he is able to fill the blanks, require him to write them as suggested in the following. = .5; } = .50; } = .500; } = .31; 1 = 331; 1.3381, etc.

=

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