Tanvi and her friend Beth are making cookies for their school's cookie swap. Tanvi mixes 1 cup of chocolate chips and 3 cups of plain sugar cookie dough in a small bowl. Beth mixes 2 cups of chocolate chips and 6 cups of plain sugar cookie dough in a larger bowl. Once the cookies are baked, the girls are ready for a chocolaty snack. Whose batch of cookies was more chocolaty?

Answer 1

To determine whose batch of cookies was more chocolaty, we can compare the ratio of chocolate chips to the total amount of dough in each batch.

Tanvi's Batch:

• Chocolate chips: 1 cup
• Plain sugar cookie dough: 3 cups
• Total dough: 1 cup (chocolate chips) + 3 cups (plain sugar cookie dough) = 4 cups

The ratio of chocolate chips to total dough for Tanvi is:
\[ \text{Ratio for Tanvi} = \frac{\text{Chocolate chips}}{\text{Total dough}} = \frac{1}{4} \]

Beth's Batch:

• Chocolate chips: 2 cups
• Plain sugar cookie dough: 6 cups
• Total dough: 2 cups (chocolate chips) + 6 cups (plain sugar cookie dough) = 8 cups

The ratio of chocolate chips to total dough for Beth is:
\[ \text{Ratio for Beth} = \frac{\text{Chocolate chips}}{\text{Total dough}} = \frac{2}{8} = \frac{1}{4} \]

Comparison: Both Tanvi and Beth have the same ratio of chocolate chips to total dough, which is \( \frac{1}{4} \). This means that both batches of cookies are equally chocolaty.

Thus, neither batch was more chocolaty; they are both the same level of chocolaty.