Question 1206721
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Note that, while the statement of the problem implies we need to solve an inequality, we can in fact find the solution by solving the corresponding equation and then using common sense to answer the questions.<br>
In the limiting case, the ratio of red to blue marbles is 1.5:1, or 3:2.<br>
100 marbles in the ratio 3:2 means 60 red marbles and 40 blue.  (You can probably do that part of the problem mentally; if not, there are simple formal algebraic ways.)<br>
Using that result for the limiting case, we can use logical reasoning and the wording of the problem to see that there at most 60 red marbles, which means at least 40 blue ones.<br>
ANSWERS: At most 60 red; at least 40 blue<br>