On the 100-grid, Sana shaded multiples of 3 (up to 30) and ringed multiples of 4 (up to 40). If she continues BOTH patterns up to 100, how many cells will be both shaded and ringed?

Question

Accepted Answer

8. A cell is both shaded and ringed when it is a common multiple of 3 and 4, i.e. a multiple of 12: 12, 24, 36, 48, 60, 72, 84, 96. That is 8 cells. (2 counts only the ones drawn so far.)

On the 100-grid, Sana shaded multiples of 3 (up to 30) and ringed multiples of 4 (up to 40). If she continues BOTH patterns up to 100, how many cells will be both shaded and ringed?

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