Question

if 2a=3b and 4b=5c,then A:c is

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Answer 1

ǫᴜᴇsᴛɪᴏɴ →

if 2a=3b and 4b=5c,then A:c is

ᴀɴsᴡᴇʀ →

Because

$\longmapsto\tt{A=\dfrac{3B}{2}}$

$\longmapsto\tt{C=\dfrac{4B}{5}}$

Then,

$\longmapsto\tt{A:C=\dfrac{3B}{2}:\dfrac{4B}{5}}$

$\longmapsto\tt {\dfrac{a}{c}:\dfrac{3B}{5}:\dfrac{4B}{5}}$

$\longmapsto\tt {\dfrac{A}{C}:\dfrac{3B}{2}:\dfrac{4B}{5}}$

$\longmapsto\tt {\dfrac{A}{C}:\dfrac{3B}{2}×\dfrac{4B}{5}}$

$\longmapsto\tt {\dfrac{A}{C}=\dfrac{15}{8}}$

$\longmapsto\tt{=A:C=15:8}$