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

Carlos and Alexandra are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Carlos mixes 44 cups of dough with 55 quarter-cups of chocolate chips and Alexandra mixes 44 cups of dough with 11 quarter-cup of chocolate chips. Whose cookies will be doughier?\newlineCarlos's cookies will be doughier.\newlineAlexandra's cookies will be doughier.\newlineThe two sets of cookies will be equally doughy.

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Q. Carlos and Alexandra are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Carlos mixes 44 cups of dough with 55 quarter-cups of chocolate chips and Alexandra mixes 44 cups of dough with 11 quarter-cup of chocolate chips. Whose cookies will be doughier?\newlineCarlos's cookies will be doughier.\newlineAlexandra's cookies will be doughier.\newlineThe two sets of cookies will be equally doughy.
  1. Calculate Ratio for Carlos: Calculate the ratio of dough to chocolate chips for Carlos's cookies.\newlineCarlos uses 44 cups of dough and 55 quarter-cups of chocolate chips.\newlineSince there are 44 quarter-cups in a cup, we can convert 55 quarter-cups to cups by dividing by 44.\newline55 quarter-cups // 4=1.254 = 1.25 cups of chocolate chips.\newlineRatio of dough to chocolate chips for Carlos = 44 cups dough // 5500 cups chocolate chips.
  2. Calculate Ratio for Alexandra: Calculate the ratio of dough to chocolate chips for Alexandra's cookies. Alexandra uses 44 cups of dough and 11 quarter-cup of chocolate chips. Since there are 44 quarter-cups in a cup, we can convert 11 quarter-cup to cups by dividing by 44. 11 quarter-cup // 4=0.254 = 0.25 cups of chocolate chips. Ratio of dough to chocolate chips for Alexandra = 44 cups dough // 1100 cups chocolate chips.
  3. Compare Ratios: Compare the ratios to determine which cookies will be doughier.\newlineCarlos's ratio: 4 cups dough1.25 cups chocolate chips=3.2 cups dough per cup of chocolate chips.\frac{4 \text{ cups dough}}{1.25 \text{ cups chocolate chips}} = 3.2 \text{ cups dough per cup of chocolate chips}.\newlineAlexandra's ratio: 4 cups dough0.25 cups chocolate chips=16 cups dough per cup of chocolate chips.\frac{4 \text{ cups dough}}{0.25 \text{ cups chocolate chips}} = 16 \text{ cups dough per cup of chocolate chips}.\newlineSince Alexandra's ratio of dough to chocolate chips is higher, her cookies will be doughier.

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