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Savannah and Yusuf are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Savannah mixes 5 cups of dough with 4 quarter-cups of chocolate chips and Yusuf mixes 5 cups of dough with 3 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?
Savannah's cookies will be more chocolaty.
Yusuf's cookies will be more chocolaty.
The two sets of cookies will be equally chocolaty.

Savannah and Yusuf are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Savannah mixes 55 cups of dough with 44 quarter-cups of chocolate chips and Yusuf mixes 55 cups of dough with 33 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineSavannah's cookies will be more chocolaty.\newlineYusuf's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.

Full solution

Q. Savannah and Yusuf are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Savannah mixes 55 cups of dough with 44 quarter-cups of chocolate chips and Yusuf mixes 55 cups of dough with 33 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineSavannah's cookies will be more chocolaty.\newlineYusuf's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.
  1. Calculate Chocolate Chips: Calculate the total amount of chocolate chips Savannah uses.\newlineSavannah uses 44 quarter-cups of chocolate chips.\newlineTotal chocolate chips for Savannah = 4×(14)4 \times (\frac{1}{4}) cups = 11 cup.
  2. Calculate Chocolate Chips: Calculate the total amount of chocolate chips Yusuf uses.\newlineYusuf uses 33 quarter-cups of chocolate chips.\newlineTotal chocolate chips for Yusuf = 3×(14)3 \times (\frac{1}{4}) cups = 34\frac{3}{4} cups.
  3. Compare Ratios: Compare the amount of chocolate chips per cup of dough for both Savannah and Yusuf.\newlineSavannah's ratio = 11 cup of chocolate chips / 55 cups of dough = 15\frac{1}{5}.\newlineYusuf's ratio = 34\frac{3}{4} cups of chocolate chips / 55 cups of dough = 320\frac{3}{20}.
  4. Determine More Chocolaty: Determine whose cookies will be more chocolaty by comparing the ratios.\newlineSince 15\frac{1}{5} is greater than 320\frac{3}{20}, Savannah's cookies will have a higher ratio of chocolate chips to dough.\newlineTherefore, Savannah's cookies will be more chocolaty.

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