Question

If a : b = 3 : 5, find (10a + 3b) : (5a + 2b)

Answer 1

a:b=3:5
a/b=3/5
5a=3b
(10a+3b):(5a+2b)
(10a+5a):(3b+2b)
15a:5b
3a:b

Answer 2

The required ratio is 9:5.

Step-by-step explanation:

Since we have given that

a : b = 3:5

So, a = 3x

b = 5x

So, it becomes,

$10a+3b=10\times 3x+3\times 5x\\\\=30x+15x\\\\=45x$

Similarly,

$5a+2b=5\times 3x+2\times 5x\\\\=15x+10x\\\\=25x$

So, ratio of (10a+3b) : (5a+2b) is given by

$45x:25x\\\\=9:5$

Hence, the required ratio is 9:5.

# learn more:

If a : b = 3:5, find :

(10a + 3b) : (5a + 2b)

https://brainly.in/question/11677852