10. Five sixths of 30 are 1 third of

11. One sixth of 48 is 2 thirds of

(i) Five sixths of 366 are 1 half of what number? (j) One sixth of 852 is 2 thirds of what number?

much in 12 days as he can earn in 9 days.

$24 in 9 days, in 12 days he can earn

If he can earn

dollars.

(k) If a man can earn $840 in 9 months, how many. dol

lars can he earn in 12 months.

13. If 9 lb. of nails are worth 33 cents, 12 lb. are worth

cents.

(1) If 9 cords of wood are worth $42.75, how much are 12 cords worth?

20. Twenty-five per cent of 80 sheep are

21. Twenty-one sheep are 25% of

Mr. A collected money for Mr. B. It was agreed that Mr. A should keep 3% of all he might collect to pay him for his trouble. He collected $375; he should keep $11.25 and "pay over" the remainder to Mr. B.

(d) How much should Mr. A "pay over" to Mr. B?

(e) Find 7% of $465.

(g) Find 3% of $422.

2. 36 is 75% of

(i) 453 is 75% of what?

(f) Find 9% of $324.

(h) Find 7% of $538.

36 is 66% of

(j) 562 is 66% of what?

3% of what? This means,

(k) Forty-eight dollars are $48 are 3 hundredths of how many dollars?

Operation.

$483 $16.

=

Explanation.

One hundredth of the unknown number is

$16 × 100 = $1600. $16. 100 hundredths (the whole) are

NUMBER STORY.

A lawyer collected some money for 3% of the amount collected; his share (commission) was $48; the amount collected was $1600.

(1) How much should the lawyer pay over to the man for whom he collected the money?

REVIEW.

1. The prime factors of 45 are

(a) What are the prime factors of 100?

2. Two, 3, and 5 are the prime factors of

and

(b) Of 125?

(c) of what number are 3, 3, 2, and 7 the prime factors?

3. Reduce to its lowest terms.

=

(d) Reduce 125 and 48 to their lowest terms.

144

(f) Reduce 324 and 543 to mixed numbers.

6. Reduce and

common denominator.

(g) Reduce and

common denominator.

to equivalent fractions having a 3333 =

=

to equivalent fractions having a

7. Multiply 60 by .7. This means, find 7 tenths of 60. One tenth of 60 •; 7 tenths of 60 =

(h) Multiply $537 by .07. This means, find 7 hundredths of $537. (See page 43.)

8. At $1 per ton, 4240 lb. of coal cost

(i) Find the cost of 4240 lb. of coal at $7 per ton.

9. The volume of a rectangular solid 5 inches by 4 inches by 2 inches is cubic inches.

(j) Find the volume of a rectangular solid 9 inches by 7 inches by 7 inches.

10. If 9 lb. of tea are worth $6, 12 lb. are worth

(k) If 9 acres of land are worth $346.50, how much are 12 acres worth at the same rate? (12 is 1 times 9.)

MISCELLANEOUS PROBLEMS.

1. From June, 1881, to June, 1899, it is

years.

(a) How many years from Aug., 1492, to Aug., 1897 ?

2. A man sold a horse for one hundred twenty dollars; this was seventeen dollars and twenty cents more than the horse cost him; the horse cost him.

(b) A man sold a farm for fourteen thousand seven hundred fifty dollars; this was eight hundred seventy-five dollars more than he paid for the farm. How much did the farm cost him?

3. From 5460 lb. of coal there were sold 2 tons. pounds remained.

(c) From 18940 lb. of coal there were sold 8 tons. How many pounds were left?

4. From Mendota to Galesburg it is 80 miles; a train going 30 miles an hour, that leaves Mendota at 8:30, should arrive at Galesburg at

If

(d) From Chicago to Denver it is about 1000 miles. a train leaves Chicago for Denver at 9 o'clock Monday morning and goes at the rate of 30 miles an hour, when will it arrive at Denver?

5. If butter is 25¢ a pound and coffee is 30¢ a pound, 3 lb. butter will pay for lb. coffee.

(e) Fifteen and one half pounds of butter at 24¢ a pound, will pay for how many pounds of coffee at 324 a pound?

6. If of a yard of lace is worth 154, 24 yards are wortli

cents.

(f) If

of a yard of cloth costs $1.05, how much will 27 yards cost?