number line

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number line

by J N » Tue Jun 04, 2013 5:52 pm
p-----q------------r-----s
1/3 1/2

r=?

Statement 1

pr=qs

Statement 2

pq (1/5)= qr



Statement 1 tells pq=rs but q and r can vary

Statement 2 tells pq=x, qr=5x but r can still vary

together they points are fixed and can solve for r

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by J N » Tue Jun 04, 2013 5:54 pm
the number line did not print correctly p= 1/3 and s =1/2 (they can actually be any numbers but the markers p,q, r and s not evenly spaced)

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by vivekchandrams » Tue Jun 04, 2013 10:08 pm
Hi J N,

There's a small ambiguity in the question you posted. Please clarify.
In the statement you said pr=qs, whereas in your explanation you said pq=rs. Pls clarify
J N wrote:p-----q------------r-----s
1/3 1/2

r=?

Statement 1

pr=qs

Statement 2

pq (1/5)= qr



Statement 1 tells pq=rs but q and r can vary

Statement 2 tells pq=x, qr=5x but r can still vary

together they points are fixed and can solve for r

Senior | Next Rank: 100 Posts
Posts: 44
Joined: Tue Mar 12, 2013 2:27 pm
Thanked: 3 times

by J N » Wed Jun 05, 2013 8:27 am
p-----q------------r-----s
1/3 1/2

pr= pq+qr

qs= qr+rs

since pr=qs set them equal to each other

pq+qr = qr+rs
pq=rs



easier to see
---a---------b--------c--
p-----q------------r-----s

a+b = b+c
a=c