Question

if x:y=3:5,find the ratio 3x+4y:8x+5y.

Answer 1

Answer:

Let x=3a and y=5a

Since given 3x+4y:8x+5y

3*3a+4*5a:8*3a+5*5a

=9a+20a:24a+25a

=29a:49a

=29:49[a/a=1]

Answer 2

if we take x=3z
y=5z

3x+4y:8x+5y
3(3z)+4(5z):8(3z)+5(5z)
9z+20z : 24z+25z
29z/49z
29:49 is ratio