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Violet and Evan are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Violet mixes 1 cup of dough with 4 quarter-cups of chocolate chips and Evan mixes 5 cups of dough with 4 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?
Violet's cookies will be more chocolaty.
Evan's cookies will be more chocolaty.
The two sets of cookies will be equally chocolaty.

Violet and Evan are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Violet mixes 11 cup of dough with 44 quarter-cups of chocolate chips and Evan mixes 55 cups of dough with 44 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineViolet's cookies will be more chocolaty.\newlineEvan's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.

Full solution

Q. Violet and Evan are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Violet mixes 11 cup of dough with 44 quarter-cups of chocolate chips and Evan mixes 55 cups of dough with 44 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineViolet's cookies will be more chocolaty.\newlineEvan's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.
  1. Calculate Ratio for Violet: Determine the ratio of chocolate chips to dough for Violet.\newlineViolet uses 11 cup of dough and 44 quarter-cups of chocolate chips.\newlineSince 44 quarter-cups make 11 cup, Violet's ratio is 11 cup of chocolate chips to 11 cup of dough.\newlineRatio for Violet = 11 cup of chocolate chips // 11 cup of dough = 11.
  2. Calculate Ratio for Evan: Determine the ratio of chocolate chips to dough for Evan.\newlineEvan uses 55 cups of dough and 44 quarter-cups of chocolate chips.\newlineAgain, 44 quarter-cups make 11 cup, so Evan's ratio is 11 cup of chocolate chips to 55 cups of dough.\newlineRatio for Evan = 11 cup of chocolate chips // 55 cups of dough = 15\frac{1}{5}.
  3. Compare Ratios: Compare the ratios to determine whose cookies will be more chocolaty. A higher ratio of chocolate chips to dough means the cookies will be more chocolaty. Violet's ratio is 11, and Evan's ratio is 15\frac{1}{5}. Since 11 is greater than 15\frac{1}{5}, Violet's cookies will be more chocolaty.

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