Question

If p:q=2:3 and x:y= 4:5 then the value of 5px+3qy:10px+4qy is

Answer 1

Answer:

The value of ration ( 5 p x + 3 q y : 10 p x + 4 q y ) is 17 : 28

Step-by-step explanation:

Given as :

The ratio are as follows

p : q = 2 : 3

Let The value of p = 2 a ,

Let The value of q = 3 a

And

x : y = 4 : 5

Let The value of x = 4 b

Let The value of y = 5 b

Now, According to question

Let 5 p x + 3 q y : 10 p x + 4 q y  = m : n

i.e $\dfrac{5px + 3qy}{10px + 4qy}$ = $\dfrac{m}{n}$

put the value of p, q, x , y

So, $\dfrac{m}{n}$  = $\dfrac{5\times 2a\times 4b+3\times 3a\times 5b}{10\times 2a\times 4b+4\times 3a\times 5b}$

Or, $\dfrac{m}{n}$ = $\dfrac{40ab+45ab}{80ab+60ab}$

Or, $\dfrac{m}{n}$ = $\dfrac{85ab}{140ab}$

∴  $\dfrac{m}{n}$ = $\dfrac{17}{28}$

So, The value of $\dfrac{5px + 3qy}{10px + 4qy}$ = $\dfrac{m}{n}$ = $\dfrac{17}{28}$

Hence, The value of ration ( 5 p x + 3 q y : 10 p x + 4 q y ) is 17 : 28 Answer