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Question
If a : b = 3 : 1 and b : c = 5 : 1 then find the value of `a^2/ (7bc)`
Solution
a : b = 3 : 1
`therefore a/b = 3/1 ⇒ a = 3b` ...(1)
b : c = 5 : 1
`b/c = 5/1 ⇒ b = 5c` ...(2)
From (1) and (2), we have
a = 3 × 5c = 15c
`a^2/ (7bc)`
= `(15c)^2 / (7 xx 5c xx c)`
= `225/35`
= `45/7`
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