SOLUTION: A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4, and CD/DE=1/2, what is AC/BE ? How would I set up this problem in order to solve it?

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Question 1168562: A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4, and
CD/DE=1/2, what is AC/BE ?
How would I set up this problem in order to solve it?
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4,
and CD/DE=1/2, what is AC/BE ?

Begin by letting AB = 1 unit.  Then you'll see how I got these numbers:



let AB = 1 unit, then



Cross-multiply,

So BC = 3 units



Cross-multiply,

So CD = 12 units



Cross-multiply,

So DE = 24 units
what is AC/BE ?

AC = AB+BC = 1+3 = 4
BE = BC+CD+DE = 3+12+24 = 39

So



Edwin
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
A, B, C, D, and E. are consecutive points on a line. If AB/BC=1/3, BC/CD=1/4,
and CD/DE=1/2, what is AC/BE ?

Begin by letting AB = 1 unit.  Then you'll see how I got these numbers:



let AB = 1 unit, then



Cross-multiply,

So BC = 3 units



Cross-multiply,

So CD = 12 units



Cross-multiply,

So DE = 24 units
what is AC/BE ?

AC = AB+BC = 1+3 = 4
BE = BC+CD+DE = 3+12+24 = 39

So



Edwin
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