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8. If one bolt of ribbon has 6 yd. 2 ft. left on it, another bolt has 8 yd. 1 ft., another bolt has 2

yd. 1 ft., how many yards of ribbon are there? What is the total value at 60¢ a yard?

9. If 13 yd. of ribbon is added to a bolt containing 4 yd. 2 ft. 6 in., how many yards are there in all? 10. If one strip of carpet measures 5 yd. 2 ft. 7 in. and another measures 4 yd. 2 ft. 9 in., how many yards are there in all?

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11. A laborer working for 40¢ an hour would receive how much money for doing these 3 pieces of

work if 8 hours is considered a day's work:

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12. A laborer working at 40 an hour, worked as follows during three weeks; how much did he earn if 9 hours is considered a day's work:

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EXAMPLE:

yd. ft. in.

18

As 10 in. cannot be subtracted from 6 in., 1 of the 2 ft. must be changed to 12 in. and added to the 6 in., making 18 in.; 18 in.

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10 in.

=

8 in.;

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As in addition, a separate column must be used for each denomination to be subtracted.

When the subtrahend of any denomination is larger than the minuend of that denomination, 1 unit of the next larger denomination of the minuend must be changed into units of the smaller denomination and added to the other units of that denomination before subtracting.

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5. If a piece of cloth containing 4 sq. yd. 2 sq. ft. 72 sq. in. is removed from a bolt containing 25 sq. yd., how much material remains on the bolt? What is it worth at $3.60 per sq. yd.?

6. From a box containing 1 gt. gr. of buttons, 8 gr. 4 doz. are sold; how many buttons remain? What are they worth at 36¢ per gross?

7. A number of men were digging a trench a mile long; how many yards had they still to dig when 148 rd. had been completed?

8. A train required 20 hr. 45 min. to run from Chicago to New York; how long had it still to travel at 9.30 P. M. if it left Chicago at 12.40 P. M.

LESSON 5

Multiplication of Denominate Numbers

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The product of 7 in. X 6 is 42 in.; 42 in. is
reduced to 3 ft. 6 in.; write 6 in. in the prod-
uct and carry 3 ft.; the product of 2 ft. X 6
is 12 ft.; 12 ft. +3 ft. (carried)
15 ft.;
15 ft. is reduced to 5 yd. 0 ft.; write O ft. in the
product and carry 5 yd.; the product of 5 yd.
X 6 is 30 yd.; 30 yd. + 5 yd. (carried)
yd.; write 35 yd. in the product.

=

35

The product of the smallest denomination must be reduced so that all units of a larger denomination which may be contained in it can be carried and added to the product found by multiplying the larger denomination.

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3. What is the cost of laying carpet in four rooms at $3.00 per square yard, if the area of each room is 20 sq. yd. 4 sq. ft. 18 sq. in.?

tion: Find total area first.)

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4. If the circumference of a wagon wheel is 3 yd.

1 ft. 6 in., how far nas the wagon traveled when the wheel has turned 1,000 times?

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5. What is the total length of 9 pieces of rope, if each piece measures 9 rd. 3 yd. 2 ft.? What is the rope worth @ 2¢ per yard?

6. Find the volume of 40 blocks of granite, the volume of each block being 1 cu. yd. 24 cu. ft. 144 cu. in.

LESSON 6

Division of Denominate Numbers

EXAMPLE: (Short Division) 5 hr. 40 min. 40 sec. ÷ 2 = ?

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EXAMPLE:

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(Long Division) 500 A. 83 sq. rd. 8 sq. yd. ÷ 45 ?

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