SOLUTION: A box contained some red and green beads . 40% of beads were red. The red beads were increased by 25% and 20% of green beads were removed. As a result there were 200 red beads. How
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-> SOLUTION: A box contained some red and green beads . 40% of beads were red. The red beads were increased by 25% and 20% of green beads were removed. As a result there were 200 red beads. How
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Question 1164285: A box contained some red and green beads . 40% of beads were red. The red beads were increased by 25% and 20% of green beads were removed. As a result there were 200 red beads. How many red beads are there at first?.. Answer by ikleyn(52781) (Show Source):
It is a tricky problem, since many parts and many input data are unnecessary and were introduced
with the only goal to confuse the reader.
Let X be the number of red beads initially.
When the number of red beads was increased by 25%, the number of red beads became X + 0.25X = 1.25X.
We are given that this number is 200. So
1.25X = 200; hence, X = = 160.
ANSWER. Originally, were there 160 red beads in the container.
Solved.
As you see, everything related to green beads is IRRELEVANT.
The info saying "40% of beads were red" is irrelevant, too.
Thus to solve the problem, all unnecessary data should be filtered out.
