# PT3 Mathematics 2017, Question 8

Question 8 (a):
Diagram 8 shows packets AB and C that are filled with flour according to the stated mass.

Based on Diagram 8,
(i) State the heaviest mass of flour.
(ii) Puan Chan needs 2.6 kg of flour to bake cakes.
State the two combination of containers that should be chosen in order for her to bake the cakes.

Solution:
(i)

(ii)

 
   
Question 8 (b):
  
 
 Solution:
$\begin{array}{l}\frac{pq-3q}{5q}÷\frac{{p}^{2}-9}{15}\\ =\frac{pq-3q}{5q}×\frac{15}{{p}^{2}-9}\\ =\frac{\overline{)q}\overline{)\left(p-3\right)}}{\overline{)5}\overline{)q}}×\frac{{\overline{)15}}^{3}}{\overline{)\left(p-3\right)}\left(p+3\right)}\\ =\frac{3}{p+3}\end{array}$

Question 8 (c):
 Zaitun has 24 bags of rice with the mass of 15 kg each. She gives            1   5       $\frac{1}{5}$     of the total rice to Hazlina. The remainder is divided equally into 16 containers.
 
Calculate the mass of rice, in kg, in each container.
 
 Solution: