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10. Two thirds of 18 are 1 half of

11. Three fourths of 24 are 2 thirds of

12. Two thirds of 30 are 1 half of

(g) One third of 132 is 1 half of what number? (h) Two thirds of 252 are 1 half of what number? (i) Three fourths of 96 are 2 thirds of what number? (j) Two thirds of 96 are 3 fourths of what number? 13. Nine is of 12. A man can earn as much in 9 days as he can earn in 12 days. can earn $40 in 12 days, in 9 days he can earn

If he

dollars.

(k) If a man can earn $896 in 12 months, how many dol

lars can he earn in 9 months?

(1) If Mr. Conrad's horses consume 726 bushels of oats in a year, how many bushels will be required to feed them 8 months?

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15. There were 40 pears on a tree; 25% of them fell off; pears remained on the tree.

16. William sold 7 melons; these were 12% of all the melons he raised; he raised

melons.

17. Mary had 30 little chickens; a hawk killed five of then; the hawk killed per cent of her chickens.

18. Twelve and one half per cent of $48 is

dollars

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1. 16% of 24 =

PERCENTAGE.

(1)

16% of 25 =

(a) Find 163 per cent of 342; (b) of 343.

2. 121% of 24 =

121% of 25

=

(c) Find 12 per cent of 976; (d) of 978.

3. 14% of 28

=

142% of 30 = (e) Find 14 per cent of 994; (f) of 996.

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REVIEW.

1. Two is an exact divisor of 28, 274,
2. Five is an exact divisor of 75, 230,
3. Ten is an exact divisor of 80,

4. Twenty is an integral number. and .5 are numbers. 54 and 3.2 are

5. The fractions, 20 9 denominator. and

nator.

numbers.

have a common

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do not have a common denomi

6. The sum of .135 and .6 is

4*

.135 -- .06

-)

5*

.)

7. Divide .045 by .009. (This means (a) Find the quotient of .875 divided by .005. 8. Divide .045 by 9. (This means (b) Find the quotient of 54.063 divided by 9.

9. When hay is $8 a ton, 2500 lb. cost 10. Five bushels of wheat weigh

pounds.

(c) Sixty-five bushels of wheat weigh how much more

than 65 bushels of oats?

11. The area of a 10-inch square is

square inches.

(d) How many square feet in a 15-foot square?

(e) How many square yards in a 15-foot square?
12. The solid content of a 10-inch cube is
(f) How many cubic feet in a 15-foot cube?
(g) How many cubic yards in a 15-foot cube?

13. Three fourths of 60 are

(h) Find & of 132.

cu. in.

60 is of

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14. Two thirds of 27 are 1 half of

(j) Two thirds of 132 are 1 half of what number?

* These figures refer to notes on page 8.

MISCELLANEOUS PROBLEMS.

1. Byron bought 6 melons for 544; he sold them at 15¢ each; on each melon he gained

cents.

(a) A merchant bought 6 barrels of apples for $13.50, and sold them at $2.75 a barrel. How much did he gain on each barrel?

2. James carried 4 dozen eggs to market; he sold them for 12¢ a dozen; the dealer paid James for the eggs with sugar at 54 a lb.; James should receive

pounds of sugar.

and

(b) A farmer took four cords of wood to market; he sold it for $6.75 a cord and took its value in coal at $6 a ton. How many tons of coal should he receive?

3. At 54 a quart, 1 gallon of milk is worth

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cents.

(c) At 54 a quart, how much are 45 gallons of milk worth?

4. Two and 1 half feet are

days.

inches. 4 weeks are

(d) Forty-six and 1 half feet are how many inches?

(e) Fifty-two weeks are how many days ?*

(f) Seventy-five gallons are how many quarts?

5. William had 304; he spent of his money for ink and pencils and the remainder for paper; the paper cost — cents.

(g) William's father had $585; he spent of his money for a carriage and harness and the remainder for horses. How much did the horses cost?

*The pupil should see that in the solution of this problem he may take fifty-two 7's or seven 52's. If he adopts the latter method his thought may be-One day in each week would make 52 days, and seven days in each week would make 7 times 52 days; or he may think that fifty-two 7's are equal to seven 52's, and that, as a matter of convenience, he finds seven 52's.

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