A new system of arithmetic, on the cancelling plan; embracing the rules of the three, single and double, direct and inverse barter loss and gain ... interest and all proportional questi - Softcover

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1841 Excerpt: ...to be in Inverse Proportion? Illustrate. 4. Rule for stating the question? In how many days ft m. going question, we find that the number which follows if, and the number which is of the same name with the answer, are to be multiplied together, and the product divided by that number which follows " how long." The same is true in all questions in the Rule of Three Inverse. Hence the Rule--Place the demand of the question, or that which follows How Many, How Long, dpc, on the left of the line, and the first term of the supposition, or that which follows If, or At, with the name of the answer, on the right of the line, and proceed to cancel, as before taught. EXAMPLES. 2. If 4 men build a wall in 20 days, in how many days could 8 men build the same wall 1 Operation. If 4 men can build a wall 4 m. in 20days,8 men would build &d rl 10 the same in f=£ of the time.--£ of 20, or 20 multiplied by 10 days, Ansiver. the ratio of 4 to 8=10 the answer. 3. If 6 men mow a field in 21 days, in how many days would 9 men mow the same? Answer, 14 days. 4. If it take 9 men 14 days to mow a field, how long would it take 6 men to mow the same field? Answer, 21 days. 5. If it take 6 men 21 days to mow a field, how many men would mow the same in 14 days? Answer, 9 men. 6. If a man perform a journey in 6 days, when the days are 16 hours long, in how many days can he perform the same when the days are 12 hours long? Answer, 8 days. 7. If 1 cwt. be transported 150 miles for 1 guinea, how far can 6 cwt. be carried for the same money? Answer, 25 miles. 8. How many yards of carpeting, £ yard in width, will cover a room 30 feet long and 20 feet wide? Answer, 133J yds. 9. What must be the length of a garden, 16 rods in breadth, to contain 2 acres? Answer, 20 r...

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