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Ronald and Madelyn are both entering a cake in the Tri-County Bake-Off. Ronald's recipe calls for 2 cups of sugar and 5 cups of flour. Madelyn is entering a much larger cake, so her recipe calls for 6 cups of sugar and 16 cups of flour. Whose cake is less sweet?

Question

Ronald and Madelyn are both entering a cake in the Tri-County Bake-Off. Ronald's recipe calls for 2 cups of sugar and 5 cups of flour. Madelyn is entering a much larger cake, so her recipe calls for 6 cups of sugar and 16 cups of flour. Whose cake is less sweet?

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Solution

To determine whose cake is less sweet, we need to compare the ratio of sugar to flour in each recipe.

For Ronald's recipe, the ratio of sugar to flour is 2 cups of sugar to 5 cups of flour, or 2/5.

For Madelyn's recipe, the ratio of sugar to flour is 6 cups of sugar to 16 cups of flour, or 6/16, which simplifies to 3/8.

To compare these ratios, we can convert them to decimals. The decimal equivalent of 2/5 is 0.4, and the decimal equivalent of 3/8 is 0.375.

Since 0.375 is less than 0.4, Madelyn's cake is less sweet than Ronald's.

This problem has been solved

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