Question

Given that 3a : 7 = 8:5, find the value of a
I know answer but I am confirming​

Answer 1

Given:

\sf{\red{\leadsto 3a:7=8:5}}⇝3a:7=8:5

To Find:

\sf{\green{\leadsto The\:value\:of\:a}}⇝Thevalueofa

Concept Used:

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

Answer:

\sf{\implies 3a:7=8:5}⟹3a:7=8:5

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

7

3a

=

5

8

\bf{\red{\mapsto By\:cross\:multipling}}↦Bycrossmultipling

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

\sf{\implies 15a =56}⟹15a=56

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

∴a=

15

56