Difference between revisions of ".Mzcw.NzIwNg"
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− | XII. Questions wherein the | + | XII. Questions wherein the doctrine |
+ | of Proportion is of [[unclear]] | ||
+ | |||
+ | 82. I. To divide 100 into two parts which | ||
+ | shall be to one another as 5 to 3. | ||
+ | x = the least part. | ||
+ | 100-x=greatest. | ||
+ | x:100-x::3:5. | ||
+ | [[formula]] | ||
+ | Therefore greatest part = 62 1/2. | ||
+ | |||
+ | Or thus let the greatest = 5x | ||
+ | The least [[underline]] = 3x [[/underline]] | ||
+ | 8x = 100 | ||
+ | [[formula]] | ||
+ | Therefore the greatest = 62 1/2. | ||
+ | And the least = 37 1/2. | ||
+ | |||
+ | 83. II. To divide 100 into five parts proportional | ||
+ | to, 2, 3 5; 6, 8. |
Latest revision as of 19:43, 11 August 2018
(24)
XII. Questions wherein the doctrine of Proportion is of unclear
82. I. To divide 100 into two parts which shall be to one another as 5 to 3. x = the least part. 100-x=greatest. x:100-x::3:5. formula Therefore greatest part = 62 1/2.
Or thus let the greatest = 5x The least underline = 3x /underline 8x = 100 formula Therefore the greatest = 62 1/2. And the least = 37 1/2.
83. II. To divide 100 into five parts proportional to, 2, 3 5; 6, 8.