Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Alyssa and Landon are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Alyssa mixes 1 cup of dough with 6 quarter-cups of chocolate chips and Landon mixes 1 cup of dough with 5 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?
Alyssa's cookies will be more chocolaty.
Landon's cookies will be more chocolaty.
The two sets of cookies will be equally chocolaty.

Alyssa and Landon are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Alyssa mixes 11 cup of dough with 66 quarter-cups of chocolate chips and Landon mixes 11 cup of dough with 55 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineAlyssa's cookies will be more chocolaty.\newlineLandon's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.

Full solution

Q. Alyssa and Landon are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Alyssa mixes 11 cup of dough with 66 quarter-cups of chocolate chips and Landon mixes 11 cup of dough with 55 quarter-cups of chocolate chips. Whose cookies will be more chocolaty?\newlineAlyssa's cookies will be more chocolaty.\newlineLandon's cookies will be more chocolaty.\newlineThe two sets of cookies will be equally chocolaty.
  1. Calculate Ratio for Alyssa: Determine the ratio of chocolate chips to dough for Alyssa. Alyssa uses 66 quarter-cups of chocolate chips for every 11 cup of dough. To find the ratio, we convert quarter-cups to whole cups. 66 quarter-cups = 6×(1/4)6 \times (1/4) cups = 64\frac{6}{4} cups = 1.51.5 cups of chocolate chips. Ratio for Alyssa = 1.51.5 cups of chocolate chips : 11 cup of dough.
  2. Calculate Ratio for Landon: Determine the ratio of chocolate chips to dough for Landon. Landon uses 55 quarter-cups of chocolate chips for every 11 cup of dough. To find the ratio, we convert quarter-cups to whole cups. 55 quarter-cups = 5×(1/4)5 \times (1/4) cups = 54\frac{5}{4} cups = 1.251.25 cups of chocolate chips. Ratio for Landon = 1.251.25 cups of chocolate chips : 11 cup of dough.
  3. Compare Ratios: Compare the ratios to determine whose cookies will be more chocolaty. Alyssa's ratio is 1.51.5 cups of chocolate chips : 11 cup of dough. Landon's ratio is 1.251.25 cups of chocolate chips : 11 cup of dough. Since 1.51.5 cups > 1.251.25 cups, Alyssa's cookies have a higher ratio of chocolate chips to dough. Therefore, Alyssa's cookies will be more chocolaty.

More problems from Solve proportions: word problems