Problem Solving
02.16.2010
Four points are on a line segment, as shown. If AB : BC = 1 : 2
and BC : CD = 8 : 5, then AB : BD equals:
(A) 4 : 13 (B) 1 : 13 (C) 1 : 7
(D) 3 : 13 (E) 4 : 17
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Explanation:
Since the ratio of AB:BC is equal to 1:2, then the difference
between them is half. Since BC:CD is compared to each other
by 8:5, then as BC is 8, AB can be 4. The sum of BC - CD
is 8+5 = 13; so therefore, AB : BD would equal (A) 4 : 13.
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Answer:
(A) 4 : 13
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Response:
After reading this problem the first time, my initial aswer
was (C) 1 : 7. It was tricky because the two different ratio's
weren't even. But after reading it a coulple more times,
I eventually figured it out. It was one of those questions that
you think you get right the first time and are so sure about it
but after reading it again, your first aswer doesn't seem to
fit anymore. So it made me look back and realize I actually
got the answer wrong!
BOO!O!OO!O!O!O!!
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