Practice SAT question

[Guest]

I need some help on a SAT question, it goes: If two points S and T are to be placed on a line L on opposite sides of point P so that 2SP=PT what is the value of ST/PT, now what I did was cross out the P's from 2SP=PT, then I got 2S=T, so then I just plugged in number's S=2, and T=4, and then P must equal 3, so then 2(2)(3)=(3)(4) so that all checks out, so then (2)(4)/(4)(3) --> 8/12 --> 2/3 so then that's the answer but the study guide says that 3/2 is the correct answer

 

[Gene]

Think of SP as the length of a line, not a product.
If is 2 times as far from Seatle to Peoria as it is from Peoria to Towsen...
You can't just cross out Peoria and have it make sense. S-P-T acts the same as Seatle-Peoria-Towsen.

 

[Guest]

Oh is makes sense now, thank you, so the distance from S to T has to be longer than P to T just because on a number line it just has to be, wow this makes sense thank you a lot I was tearing my hair out.