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The Question of the Day - 100 points

The points (0,0), (a, 5), and (b, 11) are vertices of an equilateral triangle. Find ab.

Previous Solution

The answer was 1.5 and 16!

Since half of what is left when he drinks will still be lemonade and 3/8 of all 6 cups is still lemonade, we can write the equation: 1/2 (6-x) = 3/8 (6). Solving for x, we get 1.5.

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