Question

if p:q=3/4:2 and p:r=1/3:1/2,find p:q:r

Answer 1

Answer:

Hi ,

1 ) p : q = 4/3 : 3/2

= ( 4 × 6 )/2 : ( 3 × 6 )/2

p : q = 12 : 9 ---( 1 )

2 ) q : r = 1/2 : 1/3

= 6/2 : 6/3

q : r = 3 : 2

q : r = 9 : 6 ------ ( 2 )

Therefore ,

p : q = 12 : 9

****q : r = 9 : 6

p : r = 12 : 6

p : r = 2 : 1

I hope this helps you.

; )

Answer 2

Answer:

p:q:r=6:27:4.

Step-by-step explanation:

p/q=⅔/3=2/9=2:9; p/r=¾/½=¾×2=3/2=3:2.

9p=2q; 2p=3r, so 2p/9p=3r/2q, 2/9=3r/2q, 4/27=r/q.

r/q=4/27; p/q=2/9=6/27.

Therefore p:q:r=6:27:4.

CHECK: p:q=6:27=2:9; p:r=6:4=3:2.