Question

if a: b =5:7 then the ratio ( 5a+7b):(3a: 4b) is​

Answer 1

Answer:

is 74/43

hope it helps you

Answer 2

The ration (5a+7b):(3a+4b) = 74:43.

Given,

a:b = 5:7

To Find,

The ratio (5a+7b):(3a+4b)

Solution,

The given ratio is

a/b = 5/7

Now, let us assume that

a = 5x and b = 7x

So, substituting this value in (5a+7b):(3a+4b)

Now,

(5a+7b)/(3a+4b) = (5*5x+7*7x)/(3*5x+4*7x)

(5a+7b)/(3a+4b) = (25x+49x)/(15x+28x)

Now, taking x common form the above equation

(5a+7b)/(3a+4b) = x(25+49)/x(15+28)

(5a+7b)/(3a+4b) = 74/43

So,

(5a+7b):(3a+4b) = 74:43

Hence, the ration (5a+7b):(3a+4b) = 74:43.