(3) 17x/a + 3y/b = 9, 3x/a - 2y/b = 37.
6. Find the remainder (free from x) when ax² + bx + c is divided by x - p. What inference is suggested by the result?
7. By the investment of £400, partly in a 2½ per cent. stock at 75 and partly in a 4 per cent. stock at 96, a total income of £15. 8s. 4d. is obtained. How much money is spent on each stock?
8. The perimeter of a room is a feet, and the height of its walls is b feet: find the cost of papering the walls of the rooms with paper x inches wide at y pence per foot, the area of the windows, door, and fireplace being (⅒)ab square feet in all.
(b) Geometry.
The use of reasonable symbols and abbreviations is permitted.
1. If two angles of a triangle are equal, the sides opposite to them are equal.
2. Find the locus of points which are equidistant from two given points.
3. The sum of any two sides of a triangle is greater than the third side.
4. Make a triangle equal in area to a given triangle and having one of its angles equal to a given angle.