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41. Find 25% of 12, 20, 32, 44, 52, 80, 36, 88.

42. Find 331% of $18, 21 in., 66 rd., 72 da., 100 yd., 96 bu.

43. Find 1% of 400. MODEL. 1% of 400 = Ito of 400, or 4, and 1% = 1 of 4, or 2 Ans.

44. Find 1% of 500, 600, 800, 900, $ 1200, $ 13,200, $ 1000.

45. Find 1% of 800, 1200 rd., 1600 T., 2400 A., 3200 mi.

46. Find 75% of $160, $ 400.40, 144 calves, 4.68 yd., $.72.

47. Find 66% of $ 180, 360 gal., 240 cows, $ 438.96,

930 oz.

48. Find 81% of $.96, $2" 440 in., .048 ft., 60.96 da. 49. Find 871% of 3 yd., $16.80, 48.8 qt., 600 yd. 50. Find 621% of $ 640, $ 12.80, 24.8 pk., .8 A., .248 pt.

LESSON 36

1. What is 21% of $186 ?

MODEL. 21% of $186 = $186 x .21 = $39.06 Ans.

What is :
2. 24% of 760 yd. ?
3. 35% of 630 hr. ?
4. 46% of 860 gal. ?
5. 72% of $560 ?
6. 22% of 760 bu.?
7. 19% of $ 860 ?

8. 77% of 320 A.? 9. 16% of 650 sheep ? 10. 121% of 720 mi. ? 11. 83}% of 168 in. ? 12. 564% of $ 144 ? 13. 65% of $ 200 ?

14. A man had 2560 bushels of potatoes, and sold 25% of them. How many bushels did he sell ?

15. A man invested $ 2000 in business, and lost 40% of it. How many dollars had he left ?

16. A carpenter worked 30% of 360 days in 1899. How many days did he work?

17. A farmer raised 1680 bushels of wheat, and sold 33} of it at 80¢ a bushel. How much did he receive for what he sold ?

18. What is 63% of $ 840 ? Of 660 rd. ? Of 126 gal. ? Of 369 cents ?

19. A man sold 32% of 840 acres of land at $60 an acre. How much did he receive for what he sold ?

20. A man raised 560 сi kens. He sold 40% of them at $3 a dozen. How much did he receive ?

21. If I buy a horse for $180 and sell him for 121% more than I paid for him, how much do I receive ?

22. A man bought 16,000 acres of woodland and sold 25% of it at one time, and 33}% of the remainder at another time. How many acres had he left ?

LESSON 37

1. 10% of a class of 40 pupils were absent one day. How many pupils were present ?

2. 25% of 2 gallons equals how many quarts ?
3. What part of a quantity is 331% of it?

4. How much of a quantity is 100% of it? 125% ? 1331% ? 150%? 200% ? 1663? 1371% ? 225% ? 175% ? 1871% ? 325% ?

5. How much is 125% of $8 ? $ 24 ? 16 gallons ? 6. What is 1% of $100? 1% ? 1% ? 1%? #%? 7. What per cent of a yard is į of it ? 8.75% of a yard is how many inches ? 9. How much is 200% of $100 ? $ 125? $3.50 ? 600 bu. ? 10. A boy earned 40¢ and spent 121% of it. How much was left ? What % was left ?

11. How many pounds are there in 75% of a ton ? In 75% of .5 of a ton? In 33}% of .75 of a ton ?

12. Robert has 80€. Elizabeth's money is 175% of Robert's. How much money has Elizabeth ? 13. Fifteen out of every hundred is what per

cent? 14. If a man had 300 dozen eggs and sold 15% of them, how many dozen did he sell?

15. What per cent is 1 of 50% 50% of 50%? } of 75%? 331% of 75%? 1 of 60%? 25% of 60%?

16. If I buy a knife for 75$ and sell it at a gain of 100%, how much do I get for it?

17. How many quarts are there in 121% of j bu. of beans ?

18. What % of a quantity is of it? ? 8? B?

19. A man bought a wheelbarrow for $3.60 and sold it at a gain of 331%. How much did he receive for it?

20. What is 663% of a day? Of a minute? Of a yard ?

21. Martin Kaiser sold 20 out of every hundred of his turkeys. If he had 250 at first, how many did he sell?

22. What is 371% of .64? Off? Of L1 ?

23. A druggist bought quinine at 32¢ an ounce and sold it at a gain of 500%. How much did he receive for one ounce ?

FRACTIONS

REDUCTION

LESSON 38 Change. 1. 14 to 20ths.

MODEL. 1= 20; 14 = 14 x 18 = 230 Ans. 2. 18 to 16ths; 32 to 12ths ; 35 to 40ths ; 45 to 9ths. 3. 164; to 3ds.

MODEL. 1= }; 164 = 164 x š = 492; 432 + = 494 Ans. 4. 224 to 4ths; 163 to 8ths; 25 to 7ths; 48-75 to 18ths.

In practice we multiply the whole number by the denominator of the fraction, and add to the product the numerator of the fraction, and write the denominator of the fraction under the sum.

OPERATION 5. Change 214 to an improper fraction.

214

5

199 Ans. 6. Change 26% to an improper fraction. 7. Change 235 to a mixed number.

H=1, hence 28 = as many l's as 11 is con 11)235(21,14 Ans. tained times in 235, which is 211.

22 Change to whole or mixed numbers :

11 8. 263, 504, $195, 272 rd., 8762 ft.

ti 9. Change in and Z to 36ths.

OPERATION Both terms of each fraction are multiplied by 5 5 x 3 15 that number which will raise the denominators of 12 12 x 3 36 the given fractions to the required denominator. 7 7 x 4 28 (Lesson 25, 8th.)

9 9 X4 36

OPERATION

15

Change :
10. ig and zo to 60ths.
11. § and 31 to 72ds.
12. / and to 40ths.

13. 3 to 39ths.
14. U to 84ths.
15. 1 to 205ths.

LESSON 39

OPERATION

1. Change i to 5ths. } = 24, hence 18 = as many t's as 4 is contained times in 16, which is 4, therefore 18 = .

Both terms of the fraction are divided by that number which will reduce the denomi

16 16 : 4 4

Ans. nator of the given fraction to the required

20 20 : 4 denoninator.

The value of a fraction is not changed if both numerator and denominator are divided by the same number. (Lesson 26, 6th.)

2. Change 1% to 5ths. 4. Change åk to 4ths. 3. Change 18 to 10ths. 5. Change 31 to 7ths. A fraction is in its lowest terms when the numerator and denominator are prime to each other.

6. Reduce 1ato its lowest terms.

120 40 40 5 3

; 8 168

7 We may

fraction to its lowest terms, either by dividing both

30 30 5 numerator and denominator succes

4
; 6

Ans.

168 42 42 7 sively by common factors, as in operations I and II, or by dividing both

120 5 terms by their G. C. D. as in opera

24

Ans.

16 tion III.

7. Change to lowest terms: 38, 1 3, 66120, 150, 12 O 40

48 105 7.5 1609 400 649 135120.

, , ,

OPERATION I

Ans.

56

56

reduce any

OPERATION II 120

OPERATION III

100

25

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