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GROUP 2

1. Solve mentally, 61 × 61; 550 × 550;

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2. Add 943, 1521, 7361, 551, 921, and 14.5.

3. Multiply 3624 by 563.

4. Divide 87.478 by 3.84.

5. Divide 94358.131 by .18%.

.85 x .65;

6. Divide 15 by .121; by .16; by .111; and by .621.

7. Extend and foot the following bill:

203 yd. muslin @ 11

197 yd. cotton goods @ 54

201 yd. madras @ 17¢ 108 yd. denim @ 131

216 yd. silk @@ 92¢

8. Extend and foot the following bill :

72 lb. cheese @ 17 113 lb. butter @ 251

203 lb. live geese @ 12

63 lb. ducks @ 13

9. I bought 348 eggs for $4.35, and sold them at 24¢ per dozen. How much did I gain?

10. How much will 4

peck?

bu. of apples cost at 25¢ per half

GROUP 3

1. What aliquot part of 112 is 121? What part of is? 2. What fractional part of a number is the number plus of itself. What fractional part of 200 is 275?

3. What is the cost of five 60-lb. tubs of butter at 331¢ per pound?

4. Extend and foot the following bill:

71⁄2 lb. galv. 3d nails @ 61¢

33 lb. sash cord @ 35¢

24 8-lb. weights @ $1.40 per hundredweight

16 sash locks @ 75¢ dozen

12 doz. W. S. bolts @ 20¢ dozen

17 pr. 3 × 3 butts @ 12

10 door locks @ 33}

5 oz. S. C. irons @ 64 ounce

25 lb. putty @ 4 } ¢

12 24" x 30" glass @ 521

7 12" x 28" glass @ 163

3 lb. brads @ 8¢

5. After making the proper form, extend and foot the following bill:

On July 10, 1913, Howe Bros. sold to M. S. Scott, 31 dozen -qt. pans 68" x 21", at 22¢ per dozen; 15 12-qt. pans 7" × 3', at 331¢ per dozen; 5 wash boilers 22ğ" × 12", at $13.50 per dozen; 9 8-qt. galv. pails, at $1.35 per dozen; 6 12 qt. pails at $1.75 per dozen.

6. After making the proper form, extend and foot the following bill:

On Oct. 21, 1913, the Richardson Rug Co. of Chicago, sold to McAllister and Co., Vincennes, Ind., 24 Axminster rugs 27′′ × 54", at $1.50 each; 18 Axminster rugs 30′′ × 60", at $3.25 each; 9 Wilton velvet rugs 36" x 72", at $2.75 each; 16 Tapestry Brussels rugs 27" × 54", at $.75 each; 24 Body Brussels rugs 6' x 9', at $12.50 each; 6 Body Brussels rugs 9' x 12', at $20 each; 44' of hall runner 27′′ wide, at 331 per ft.

7. The interest on $250 for 60 da. is $2.50. Find the interest for 45 da.; for 75 da.; for 130 da.; for 190 da.

Make the extensions mentally, and find the total amount

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1. A man works overtime 1 hr. and 15 min. each day for 3 da., and 1 hr. and 40 min. each day for 5 da. At 36 per hour for overtime, how much extra has he earned in the 8 da.?

2. A race horse trots a mile in 2:04. How many yards does it travel in 10 sec.?

3. A railroad gains in elevation 1232 ft. in a distance of 6 mi., 3520 ft. What elevation is gained per mile? 4. An automobile circles a half-mile How many feet does it travel per second? per hour?

track in 44 sec. What is its speed

5. A train travels a mile in 52 sec. What is its speed per hour?

6. A dealer bought 22 gal.

and sold it 5¢ per glass of

pt.

of milk at 13¢ per gallon,

What is his gain?

7. I owe £13 88. 7d. in England, 1000 francs in France,

and 324 marks in Germany. What is my total indebtedness in United States money?

8. What is the gain on 2500 yd. of English woolens bought at 38. 6d. per yard, and sold at $1.40 per yard?

9. What is the gain in U.S. money on a French automobile costing 8000 francs, if sold in England for £420?

10. A druggist bought 200 lb. (commercial weight) of chemicals at 31 per pound. What is his gain if he sells at 42¢ per pound (apothecaries' weight)?

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7. What will be the cost of 25 bath robes at $2.50 each?

8. What will be the cost of 15 squares of gravel roofing at $1.50 per square?

9. A retailer bought $40 worth of cotton goods at 61 per yard, and sold the lot at 123 per yard. How much did

he make?

10. I bought 300 articles at 331 each, and sold them at 50 each. How much did I gain?

THE EQUATION

126. If a four-pound weight in one pan of the scales exactly balances a quantity of sugar in the other pan, we may say that in respect to weight, the four-pound weight is

4 lb

equal to the sugar. A statement that one quantity is equal to another quantity is called an equation.

The sign of equality (=) is read "equals."

127. The equation is used for abbreviating statements: Thus, the question, "If a 50-acre farm is worth $5000, what is 1 acre worth?" can be abbreviated to read: "If 50 A. = $5000, what does A. equal?"

Further, the statement that, "If 50 acres are worth $5000, 1 acre is worth 1-50th of $5000, or $100," can be abbreviated to read:

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128. If 50 A. = $5000, what will 100 A. =?

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129. Further illustrations might be given to indicate that any operation may be performed on both sides of an equa

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