Question

Given that 3a:7=8 : 5 find the value of a.

Answer 1

Given:

$\sf{\red{\leadsto 3a:7=8:5}}$

To Find:

$\sf{\green{\leadsto The\:value\:of\:a}}$

Concept Used:

$\sf{\purple{\leadsto We \: will\:convert\:ratio\:to\: fractions.}}$

Answer:

$\sf{\implies 3a:7=8:5}$

$\sf{\implies \dfrac{3a}{7}=\dfrac{8}{5}}$

$\bf{\red{\mapsto By\:cross\:multipling}}$

$\sf{\implies 3a\times 5 =8\times 7}$

$\sf{\implies 15a =56}$

${\underline{\boxed{\red{\bf{\therefore a=\dfrac{56}{15}}}}}}$

Answer 2

Answer:

given:-

3a:7 = 8:5

to find:-

a

solution:-

3a:7 = 8:5

3a/7=8/5

3a=(8*7)/5

3a= 56/5

a= 56/(5*3)

a=56/15

hence , when the value of a is 56/15 then 3a:7=8:5