Question

8. (i) If a: b= 5: 7 and b: c= 14:15, find a : c.
(ii) Ifx: y = 2: 7 and y: z = 9:11, find x:y: z.​

Answer 1

Step-by-step explanation:

(i) a/b = 5/7---- eqn. 1

b/c = 14/15----eqn. 2

therefore,

eqn. 1 × eqn. 2 =

$\frac{a}{b} \times \frac{b}{c} = \frac{a}{c} \\ \frac{a}{c} = \frac{5}{7} \times \frac{14}{15} = \frac{2}{3}$

a:c= 2:3

(ii) x/y = 2/7

x = 2y/7

y = y

y/z = 9/11

z = 11y/9

x:y:z=2y/7 : y : 11y/9= 18:63:77