Question

Jika a:b=3:4,maka (6a+b):(4a+5b) adalah

Answer 1

A : b = 3 : 4 → a/b = 3/4
a = 3b/4

(6a + b) : (4a + 5b)
= [6(3b/4) + b] : [4(3b/4) + 5b]
= [3(3b/2) + b] : (3b + 5b)
= (9b/2 + b) : 8b
= [(9b + 2b)/2] : 8b
= 11b/2 : 8b → (× 2/b)
= 11 : 16

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