Notice that there are two kinds of division:

(1) Finding one of the equal parts of a number (sometimes called par◄ tition). P250 ÷ 5 =P 50. P 250 is separated into 5 equal parts.

(2) Finding how many times one number is contained in another number of the same kind (sometimes called measuring). P250 ÷ P50 = 5. P250 is measured by P 50.

Keep in mind this difference when you are analyzing problems in division. 1. If 5 hats cost P15, what will 7 hats cost?

If 5 hats cost P15, 1 hat costs of P15, or P3. 7 hats will cost 7 × P3, or P21.

2. At P7 a cavan, how many cavanes of rice can I buy for P147?

1 cavan of rice costs P7. P147 contains P7, 21 times. Therefore I can buy 21 cavanes for P 147.

3. At P8 each, how many coats can I buy for P 48?

4. If 12 oranges cost 48 centavos, what will 21 oranges cost? 5. If 3 apples cost 24 centavos, how many apples can I buy for 80 centavos?

6. If 2 meters of cloth cost P.24, what will 10 meters cost? 7. Define division; divisor; dividend; quotient; remainder.

9. Written.

To test the work, multiply together the divisor and quotient and add the remainder. The result should be the dividend.

39. How many horses at P 85 each can I buy for P10,710?

40. A farmer paid P 14,875 for 175 hektars of land. much did he pay per hektar?

How

41. If a man earns P 520 in 8 months, how much will he earn in 12 months? Analyze.

42. How many cavanes are there in 10,745 liters?

43. I exchanged 3 carabaos valued at P121 each for hemp worth P22 a picul. How many piculs of hemp did I get?

44. A man sold 280 goats for P 4.50 each, and with the money bought sheep at P4.00 each. How many sheep did he buy?

45. At the rate of 340 meters per second, how long will it take sound to travel 2550 meters? Analyze.

46. Which costs the more per picul, 64 piculs of sugar for P272, or 7 piculs for P 30.10?

1. If 28 horses cost P3780, what will 36 horses cost at the same rate? Analyze.

2. A man works 6 days a week for 28 weeks at P2.75 a day. How much does he earn?

3. Find the cost of 8 cheeses weighing 2 kilos each, at P1.35 a kilo.

4. If 14 men can do a piece of work in 10 days, how long will it take 16 men to do it?

5. At the rate of P75 for 12 turkeys, how much must I pay for 5 turkeys? For 22 turkeys? For 50 turkeys?

6. A fruit dealer bought four bunches of bananas containing 396 bananas for P.65 a bunch. He sold the bananas for P.10

a dozen. How much did he gain?

7. Sailing 370 kilometers a day, how many days would it take a steamer to go from Guam to San Francisco, a distance of 8325 kilometers?

8. A piece of land containing 37,620 square meters is cut into 38 equal lots. How many square meters are there in each lot?.

How

9. A man bought 8 meters of cloth at P.24 a meter, 12 meters at P.25 a meter, and 9 meters at P.50 a meter. many cavanes of maize at P 2.22 a cavan will pay for the cloth? 10. How much will it cost to send a cable message of 27 words from Manila to New York at P2.24 a word?

11. The product of two numbers is 173,696. One of the numbers is 368; what is the other number?

12. Two men are 47 kilometers apart. If they travel away from each other, one 75 Km a day and the other 54 Km a day, how far apart will they be at the end of the second day?

13. From a piece of cloth containing 45 meters, 12 meters, 163 meters, and 9 meters were sold. How many meters were left?

14. A farmer sold 75 piculs of hemp at P 20 a picul and 400 cavanes of maize at P2.25 a cavan. With the money he bought land at P 125 a hektar. How many hektars did he buy?

15. A dealer bought 50 bicycles at P75 each. He paid P 450 duty, and P175 freight. For how much must he sell each bicycle in order to gain P500 on the whole lot?

16. Find the cost of 18 baseballs at P32 a dozen; 7 gloves at P3.60 each; 2 mits at P 12.75 each; and 4 bats at P1.35 each.

17. With P4.00 I wish to buy 10-centavo, 4-centavo, and 2-centavo stamps so that I shall have the same number of each. How many of each kind shall I get?

18. A farmer has a coconut grove of 61 hektars, with 110 trees to the hektar. If each tree yields 80 nuts a year, what will be the value of the crop at P 22 a thousand?

19. A fruit dealer buys 8 boxes of lemons at P5.75 a box. There are 140 lemons in each box. If he sells them at P.60 a dozen, how much will he gain?

20. A boy bought 300 oranges at the rate of 2 for 3 centavos and sold them at the rate of 2 for 5 centavos. How much did he gain?

21. How many meters of sinamay at P.24 a meter will pay for 96 gantas of rice worth P.20 a ganta? Analyze.

22. A lady paid P5.10 for 6 meters of satin. At that rate, how many meters can she buy for P 29.75? Analyze.

23. A boy deposited in the Postal Savings Bank P4.25 each month for a year. If during that time he drew out P6.25, P 3.50, P 4.75, and P 2.50, how much had he still in the bank?

11. Written.

The gutta-percha tree, from the sap of which the gutta-percha of commerce is made, is found in several of the Philippine Islands. If care is taken to collect the sap without destroying the tree, the gathering of gutta-percha promises to become an important industry.

1. 169,696 Kg of gutta-percha were taken from the public lands of the Philippines during 1902, and 277,078 Kg during 1903. Find the increase in the

amount taken.

2. In one year 6,964 Kg of gutta-percha were obtained in Cottabato, 214 Kg in Jolo, and 15,938 Kg in Zamboanga. Find the total amount taken.

3. In 1847 it was discovered that gutta-percha made the best covering for telegraphic cables. How long has it been used for this purpose?

4. A Chinese exporter bought 73 piculs of gutta-percha at P42.50 per picul. After paying P6.35 per picul forestry tax, he sold the gutta-percha for P 98.50 per picul. What was his profit?

5. The United States imported 280,560 pounds of guttapercha valued at $130,957 in 1901; 525,767 pounds valued at $252,329 in 1902; 316,290 pounds valued at $222,400 in 1903; 424,617 pounds valued at $174,953 in 1904; 665,217 pounds valued at $210,118 in 1905. Find the amount imported and

the total value.