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Sugar Rounds Doughnut Shop offers 2 free doughnuts with every 20 purchased doughnuts. Sweet Delights Doughnut Shop offers 3 free doughnuts with every 30 purchased doughnuts. Which doughnut shop offers a greater ratio of free doughnuts to purchased doughnuts?

Question

Sugar Rounds Doughnut Shop offers 2 free doughnuts with every 20 purchased doughnuts. Sweet Delights Doughnut Shop offers 3 free doughnuts with every 30 purchased doughnuts. Which doughnut shop offers a greater ratio of free doughnuts to purchased doughnuts?

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Solution

To determine which doughnut shop offers a greater ratio of free doughnuts to purchased doughnuts, we need to calculate the ratio for each shop.

  1. For Sugar Rounds Doughnut Shop, the ratio of free doughnuts to purchased doughnuts is 2 free doughnuts for every 20 purchased doughnuts. This simplifies to a ratio of 1:10.

  2. For Sweet Delights Doughnut Shop, the ratio of free doughnuts to purchased doughnuts is 3 free doughnuts for every 30 purchased doughnuts. This simplifies to a ratio of 1:10.

Therefore, both Sugar Rounds Doughnut Shop and Sweet Delights Doughnut Shop offer the same ratio of free doughnuts to purchased doughnuts.

This problem has been solved

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