Question

if a:b=3:1 and b:c=5:1 then find the value of (i)a³\15b²c (ii) a²\7bc​

Answer 1

Step-by-step explanation:

a : b = 3 : 1

b : c = 5 : 1

---------------------------

a : b : c = 15 : 5 : 1

(1)

$\frac{ {a}^{3} }{15 {b}^{2}c } \\ = \frac{15 \times 15 \times 15}{15 \times 5 \times 5 \times 1} \\ = 9$

(2)

$\frac{ {a}^{2} }{7bc} \\ = \frac{15 \times 15}{7 \times 5 \times 1} \\ = \frac{45}{7} \\ = 6.43$