College Requirements in Algebra a Final Review

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Find the number of problems and the number of days given to them by each student. \^IIarvaTd. '\ 38 COLLEGE REQUIREMENTS IN ALGEBRA.
SECTION XXXII. HARVARD.
[Write legibly and without crowding ; give the work clearly, and find all possible answers. The shortest methods of work are preferred. Abridged processes of work may be used, but should be distinctly indi- cated. ] 1. Solve the equation b\2a 2 b a 4a 4^_6 1__1 _ X a X b_ = 0.
2. Two tanks A and B are discharging water ; A at the rate of x
...barrels per hour, and B at the rate of (x + 100) barrels per hour. At (1 + y) hours after noon, A contains 470 barrels less than at noon ; and at a time (l—y) hours after noon, B contains 400 barrels less than at noon. Find the rate at which each tank is discharging water, and the times (1 + y) and (1 — y) hours after noon. Obtain two sets of answers, and interpret negative results.
3. Find the Greatest Common Measure and the Least Com- mon Multiple of 12 2:' - 29^+ 14 and 18:r' + 3:r-10.
4.


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