To determine which cookie yields more cookies from one cup of sugar, we can analyze the data provided for both Cookie A and Cookie B.
From the information given for Cookie A, the yields per cup of sugar are as follows:
- 2 cups of sugar yield 80 cookies
- 3 cups of sugar yield 120 cookies
- 4 cups of sugar yield 160 cookies
To find the yield per cup for Cookie A, we can calculate:
- For 2 cups: \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 3 cups: \( \frac{120 \text{ cookies}}{3 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 4 cups: \( \frac{160 \text{ cookies}}{4 \text{ cups}} = 40 \text{ cookies per cup} \)
So, Cookie A makes 40 cookies per cup of sugar.
Next, we look at the data for Cookie B, which is given as cookie yields for different amounts of sugar (the terms seem broken but the yields seem to be listed):
- 1 cup yields 36 cookies
- 2 cups yield 72 cookies
- 3 cups yield 108 cookies
- 4 cups yield 144 cookies
- 5 cups yield 180 cookies
We can calculate the yield per cup for Cookie B:
- For 1 cup: \( 36 \text{ cookies} \)
- For 2 cups: \( \frac{72 \text{ cookies}}{2 \text{ cups}} = 36 \text{ cookies per cup} \)
- For 3 cups: \( \frac{108 \text{ cookies}}{3 \text{ cups}} = 36 \text{ cookies per cup} \)
- For 4 cups: \( \frac{144 \text{ cookies}}{4 \text{ cups}} = 36 \text{ cookies per cup} \)
- For 5 cups: \( \frac{180 \text{ cookies}}{5 \text{ cups}} = 36 \text{ cookies per cup} \)
So, Cookie B makes 36 cookies per cup of sugar.
Now we can compare the two:
- Cookie A: 40 cookies per cup of sugar
- Cookie B: 36 cookies per cup of sugar
Based on this analysis, Cookie A yields more cookies than Cookie B from one cup of sugar. Thus, the correct answer is:
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
1 answer