SOLUTION: Biff, Bertha, and Bartholomew shared 169 apples in the unusual ratio of one-half, one-third, and one-fourth. How many apples did each receive?

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Question 744456: Biff, Bertha, and Bartholomew shared 169 apples in the unusual ratio of one-half, one-third, and one-fourth. How many apples did each receive?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio does not work.
1%2F2%2B1%2F3%2B1%2F4=6%2F12%2B4%2F12%2B3%2F12=13%2F12

Better is you have the ratio of 6 to 4 to 3, so the 169 apples can be cut into 13 equal parts.

Biff gets %286%2F13%29%2A169=6%2A13
Bertha gets %284%2F13%29%2A169=4%2A13
Bartholomew gets %283%2F13%29%2A169=3%2A13

Those should sum to 169.