An Academic Arithmetic for Academies High And Commercial Schools

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Then, omitting reference to the units, 36:27 = 15:3!.
Or, a, = flAJt? = ^ = ll^.
2 7x15 ^45 36 4 Then the required time is 11^ days, Ans.
From the above examples, we derive the following RULE.
Make the quantity which is of the same kind as the answer the third term.
If, from the nature of the problem, the answer is to be greater than the third term, make the smaller of the remaining quan- tities the first, and the greater the second term; but if the answer is to be less than the third term, mak
...e the greater of the quantities the first term, and the smaller the second term.
Finally, divide the product of the means by the given extreme.
196 ARITHMETIC.
EXAMPLES, 3. If 23 gallons of molasses cost $ 4.37, how much will 29 gallons cost ?
4. If 51 bushels of grain cost $ 21.42, how much wiU 38 bushels cost?
5. If 41 men can do a piece of wbik in 35 days, how many days will it take 28 men. to do it ?
6. If 37 men can do a piece of work in 63 days, how many days will it take 42 men to do it ?


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