Page 118 - Mathematics

23. If 1 is subtracted from both the 26. If r = 5, find all possible solutions
numerator and the denominator to the following equations:

of a fraction, the result is If 2 (a) xr− = r − 2x

is added to twice the numerator (b) 4xr− = 2x r+
and 6 is added to thrice the 27. Find all possible solutions to the
denominator of the same fraction, following equations:
4
the result is . Find the fraction. (a) 2x − 6 = 3x − 10
15
24. A certain school placed two orders (b) 6x + 2 = 13x − 1
Tanzania Institute of Education
with the stationery dealers. The (c) 5x + 5 = 2x + 12
first order was 50 boxes of marker (d) 9x + 18 = 2x − 1
pens and 20 boxes of correction
fluid for the total amount of 40,000 28. If one side of a triangle is one-third
Tanzanian shillings. The second of its perimeter, the second side is
order was 10 boxes of marker pens one-sixth of the perimeter, and the
and 20 boxes of correction fluid third side is 9 centimetres, find the

for the total amount of 24,000 perimeter of the triangle.
Tanzanian shillings.
(a) Formulate a system of 29. Find the solution of each of the
simultaneous equations that following simultaneous equations.

describes the cost of a box (a)  6x y−= 3
of marker pen and a box of  4x − 3y = − 5
correction fluid.

(b) Calculate the cost of a box  1 x − 1 y = 0

of marker pens and a box of (b)  3 2

correction fluid.  1 x − 1 y = 5
25. When Juma went to a national   2 3 6
y

park, he was interested with two (c)  x x + 2 = 5

Mathematics Form One and elephants. If the total number (d)  2x + 2 3x +  − 3 3y = 2y = = 6 12

kinds of wild animals only; zebras
1
y

 
of zebras and elephants he saw
8
was 102, formulate the equation
representing the scenario.


112

25/10/2024 09:51:42
Mathematics form 1.indd 112
Mathematics form 1.indd 112 25/10/2024 09:51:42