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7. If yd. of velvet costs $2.80, what do 64 yd. cost? 8. A dealer paid $341.25 for 10,500 ft. of lumber. What was the price per M?

9. How many bushels in a bin 7 ft. 6 in. long, 6 ft. 6 in. wide, and 5 ft. deep? (Take 1 bu. = 2150 cu. in.)

10. What is the number which must be subtracted from 7 in order to leave a remainder of 42?

11. How much will 7 mi. of telegraph wire cost at 33 a pound, allowing 1 lb. of wire to 22 ft.?

12. A dealer sold 72 barrels of flour at $8.50 a barrel, thereby gaining $43.20. What did each barrel cost him?

13. A farmer sold & of his 152-acre farm, and afterwards sold 19 A. The part that remained was what per cent of the farm?

14. A man spends of his income for board and clothes, of it for other expenses, and saves $330 a year. What is his income?

15. A farmer weighed the hay from 4 A. of a 32-acre meadow and found he had 11 T. 500 lb. At this rate, how many tons did he get from the meadow?

16. In taking an inventory a dry goods merchant finds that he has 6 pieces of pongee, 48 yd. in each piece, which cost him 37 ct. a yard. What is the total value?

17. How much will it cost to dig a ditch for a water main extending 15 city blocks, the ditch being 6 ft. deep and 2 ft. wide, at 50% a cubic yard, the blocks running 20

ORAL EXERCISE

1. If 4 collars cost 90%, what will 6 cost?

The pupil should think, "Half as much more." Many such examples admit of these short methods.

2. If 7 pencils cost 21, what will 8 cost?

3. If 4 arithmetics cost $2.40, what will 5 cost? 4. If 3 lamp chimneys cost 399, what will 2 cost? 5. If 4 lb. of butter cost 88%, what will 9 lb. cost? 6. If 2 yd. of cloth cost 62, what will 10 yd. cost? 7. If 3 pairs of cuffs cost 90%, what will 5 pairs cost? 8. If 5 reams of paper cost 90g, what will 3 reams cost? 9. If chairs cost $18 per half dozen, what will 7 cost? 10. If 3 yd. of carpet cost $1.56, what will 20 yd. cost? 11. If 3 tablets cost 249, how many can be bought for 40g?

12. If a 6-lb. roast of beef cost $1.08, what will a 9-lb. roast cost?

13. If the length of 2 meters is 2.2 yd., how many yards in 7 meters?

14. A dealer pays $45 for 3 suits of clothes. What is the price per dozen?

15. At $15 per half dozen, what will a dozen and a half of fountain pens cost?

16. If an express train makes 90 mi. in 2 hours, how long will it take it to make 135 mi.?

17. If 4 men can lay some stone pavement in 5 days, how long will it take 10 men to lay it?

18. If 8 men can do a piece of work in 10 days, how

WRITTEN EXERCISE

1. A dealer sells for $238 some goods that cost him $59.50 less than this. What was his rate of gain on the cost?

$59.50 is the required per cent of what number?

2. A dealer sells for $2451 some goods that were marked $129 more than this. What rate of discount did he allow on the marked price?

$129 is the required per cent of what number?

3. A grocer sold some canned goods at a profit of 20%, making $70. What was the selling price?

4. A merchant paid $232.50 for some goods after a discount of 7% had been allowed. What was the marked price?

$232.50 is 93% of what number?

5. The total cost of a house, including the architect's commission of 5%, was $7644. How much was the commission?

6. After deducting his commission of 6% for selling some property, an auctioneer remitted $258.50. How much was the commission?

7. The sum of the principal and the interest at 5% on a note for a year is $246.75. What is the interest?

$246.75 is 105% of what number?

8. A man's salary this year is $935, an increase of 10%. What was it last year?

9. A number is increased 10%, and the result is decreased 20%. There remains 220. What is the number?

10. A man saved $427.50 this year, which is 10% less

he

11. If a man pays $196 for 28 weeks' board, what will pay for 37 weeks?

12. If the interest on $255 is $7.65 a year, what is the interest on $385 at the same rate?

13. If it costs $140 to insure some property for $10,000, what will it cost to insure it for $7500?

14. If the area of a certain field is 90 A., what is the area of one of exactly the same shape, but half as long? If it is half as long, what about the width? the area?

15. If the interest on a certain sum for 2 yr. is $38, what is the interest on twice that sum for 6 mo. at the same rate?

16. If the freight on some boxes is $2.80 for a distance of 150 mi., what is it on the same boxes for 250 mi. at the same rate?

17. If $2.50 pays the freight on 750 lb. for 450 mi., for how many miles will it pay the freight on half a ton at the same rate?

18. An agent has $3248 to invest after deducting his commission of 1% on the amount invested. What does he invest?

19. If a 3-ft. post casts a shadow 4 ft. long at the same time that a church spire casts a shadow 116 ft. 8 in., how high is the spire?

20. A building known to be 90 ft. high casts a shadow that just reaches across the street. At the same time a boy 4 ft. 6 in. high finds that his shadow is 6 ft. long. How wide is the street?

21. A dealer has a balance of $2815.20 due him from his agent. Instead of taking the money he instructs the agent to invest it in certain goods, deducting his commission of

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144 square inches (sq. in.) = 1 square foot (sq. ft.).
9 square feet = 1 square yard (sq. yd.).

301 square yards = 1 square rod (sq. rd).
160 square rods = 1 acre (A.).

640 acres = 1 square mile (sq. mi.).

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The avoirdupois pound contains 7000 gr., the Troy pound 5760 gr.

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