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

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Q. Nevaeh and Mason are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Nevaeh mixes

4

cups of dough with

5

quarter-cups of chocolate chips and Mason mixes

4

cups of dough with

1

quarter-cup of chocolate chips. Whose cookies will be doughier?

\newline

Nevaeh's cookies will be doughier.

\newline

Mason's cookies will be doughier.

\newline

The two sets of cookies will be equally doughy.

Calculate Chocolate Chips: Determine the total amount of chocolate chips Nevaeh uses in cups. $\newline$ Nevaeh uses $5$ quarter-cups of chocolate chips. Since there are $4$ quarter-cups in a cup, we calculate: $\newline$ $5$ quarter-cups $\times (1 \text{ cup} / 4 \text{ quarter-cups}) = \frac{5}{4} \text{ cups} = 1.25 \text{ cups}$ of chocolate chips.
Calculate Chocolate Chips: Determine the total amount of chocolate chips Mason uses in cups. $\newline$ Mason uses $1$ quarter-cup of chocolate chips. Converting this to cups: $\newline$ $1$ quarter-cup $\times \left(\frac{1 \text{ cup}}{4 \text{ quarter-cups}}\right) = \frac{1}{4}$ cup $= 0.25$ cups of chocolate chips.
Calculate Nevaeh's Ratio: Calculate the ratio of dough to chocolate chips for Nevaeh's cookies. Nevaeh has $4$ cups of dough and $1.25$ cups of chocolate chips. The ratio is: $4$ cups of dough : $1.25$ cups of chocolate chips.
Calculate Mason's Ratio: Calculate the ratio of dough to chocolate chips for Mason's cookies. $\newline$ Mason has $4$ cups of dough and $0.25$ cups of chocolate chips. The ratio is: $\newline$ $4$ cups of dough : $0.25$ cups of chocolate chips.
Compare Ratios: Compare the ratios to determine whose cookies will be doughier. $\newline$ A higher ratio of dough to chocolate chips means the cookies will be doughier. We compare the ratios: $\newline$ Nevaeh's ratio: $4$ cups of dough : $1.25$ cups of chocolate chips. $\newline$ Mason's ratio: $4$ cups of dough : $0.25$ cups of chocolate chips. $\newline$ Mason's ratio has more dough relative to chocolate chips, so Mason's cookies will be doughier.