Question

Solve the proportion. b/10=3/5

Answer 1

`\huge{\boxed {\tt{Solution : }}}`

Given :

• 
  `\sf {(b)/(10) = (3)/(5)}`

To Find :

• Solve the proportion.

`\tt {We\: can\: write\: (b)/(10) = (3)/(5)\:as:}`

`\longrightarrow \sf{b : 10 : :3 : 5}`

`\tt{ \because {Product\:of \:extremes=Product\:of \:means}}`

`\sf { : \implies{ b:10 : :3 :5 }} \\ \\ \sf { : \implies{b * 5 = 10 * 3 }} \\ \\ \sf { : \implies{5b = 30}} \\ \\ \sf { :\implies{b = (30)/(5)}} \\ \\ \sf { : \implies{\boxed{\tt{b = 6}}}}`

`\bf{\therefore{The\: value\:b\:is\:6.}}`

`\rule{307}{2}`

Answer 2

B/10 = 3/5

B x 5 = 5b
10 x 3 = 30

5b = 30
Divide 5b and 30 to 5
B=6