c) Solve the following equation by isolating the variable: 7p - 9 = 4p - 6
d) Find two numbers whose sum is 100 and whose ratio is 16:9.
4. Answer the following questions:
a) In a pen holder, the number of blue, black, and red pens are in the ratio 1:2:3,
respectively. If there are 6 black pens, find the number of red pens.
Express numerically the ratios of the following distances:
(4 x 2 = 8 marks)
b) In Fig. 3, each division represents 1 cm.
E
A B C
4
0 1 2
3
8
(i) AC: AF
(ii) AG: GI
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The ratio of two number =9:16
Let the number be 9x and 16x
The sum of the two numbers =100
∴(9x+16x)=100
⟹9x+16x=100⟹25x=100
⟹x=
25
100
=4
Required numbers are 9×4=36 and 16×4=64
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