Key to the Abridgment of Day's Algebra

Cover Key to the Abridgment of Day's Algebra
Key to the Abridgment of Day's Algebra
James B James Bates Thomson
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* 14.
When the denominator 16, Examples for Practice, • is removed, the numera- 1.
x«8.
tors of the other frac- ^ abed — abch tions become multiples 2.
bc-^ab — ac of their denominators.
3.
x=\2.
(Art. 152.) a:«=9.
93 ooi 15.
By removing the denomi- 4.
a:=«-^, or 23f 4 nator 12 first, the others 1200 will disappeiu*.
5.
«=l|2£,or25H.
a-=7.
16.
x^\.
6.
z-lzH 17.
ff»4.
9 18.
a?=s6.
7.
* ^I'^'-a^v 19.
a:»4.
10 20.
Xm^.
• SOLUTION 07 1»110BLEM8.
Art. 161.
1 and 2. See Book.
3. Let 12x«the estate ;*
... Then the shares are, 6a; — 1000 ; 4x — 800 ; and 3x— 600; By the conditions, 13x — ^2400=sl2a?; a?=*2400, and 12x=28800. Ans.
• Obnt, When the conditions of thfe problem conlain fractional ex- pretsioDS, as |, |, ^, &c., ve can avoid these fractions, and oftentimes 20 KKT. [SeetVU 4. 13 the lesi ; 36 the greater.
5 and 6. See Book.
7. dfssO.
8. 48jMthe number.
9. 120x».the estate.
Then the several shares will be 30jrr4^200 ; 24af+3M ; 20ff+300 ; and 15x-f400 i Bj the conditions, 89x-f 1240«b120x.


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