Question

I don't understand how to do this. Can someone walk me through it?

Answer 1

So........ A-----P-----Q-----B

Since PQ is compared to 3 in the first ratio and five in the second I can say that PQ equals fifteen.

Answer 2

Then.....2/3 of 15 is equal to AP, so AP equals ten.

Answer 3

My question is....how do I get QB?

Answer 4

see below :-
AP/PQ = 2/3 => AP = PQ.2/3
PQ/QB = 5/8 => QB = PQ.8/5

Answer 5

So I should multiply 8/5 by 15 to get QB?

Answer 6

AP : PQ : QB

PQ.2/3 : PQ : PQ.8/5

2/3 : 1 : 8/5

10 : 15 : 24

Answer 7

thats right, it became simple above cuz we converted everything to PQ.. and cancelled them..

Answer 8

Why do we multiply by 8/5 instead of 5/8?

Answer 9

i dont get u.. u asking that q for below step ?

PQ/QB = 5/8 => QB = PQ.8/5

Answer 10

Yes.

Answer 11

you understand below, how we converted the given PQ:QB = 5:8 to below proportion ?
PQ/QB = 5/8

Answer 12

Yes. Now you just switch it?

Answer 13

good. see if u can follow below :

\(\frac{PQ}{QB} = \frac{5}{8}\)

cross multiply

PQ. 8 = QB . 5

divide 5

PQ . 8/5 = QB

Answer 14

Oh...okay i got it. Thank you!

Answer 15

wonderful ! yw !