Question

if p:q= 3:5 and b: c= 9:14, find p:q:r​

Answer 1

Step-by-step explanation:

So firstly we can see that —————→ [math]a/b = 4/7[/math]

Thus [math]b = 7a/4[/math]

Now notice that [math]b/c = 5/6[/math], then ———-> [math]b = 5c/6[/math]

Now substitute to get [math]7a/4 = 5c/6[/math]

Thus [math]c = 21a/10[/math]

So we want ————-> [math]a : b : c[/math]

express b and c in terms of a

thus [math]a : 7a/4 : 21a/10[/math]

Multiply all sides by 20 to get

[math]20 : 35 : 42[/math]

pls mark me as brainliest