Question

dimensional analysis
no-bake cookies recipe
consider the following recipe for no-
bake cookies. use it to help answer
the question.

80 g oats
340 g maple syrup
6 g unsweetened cocoa powder
240 g creamy peanut butter

yields: 15 cookies

how many grams of unsweetened
cocoa powder are required to make 5
cookies?

2 g

4 g

3 g

Explanation:

Step1: Find the ratio of cookies

We know the recipe yields 15 cookies with 6 g of cocoa powder. We need to find the amount for 5 cookies. First, find the ratio of 5 cookies to 15 cookies.
The ratio is $\frac{5}{15}=\frac{1}{3}$.

Step2: Calculate the cocoa powder for 5 cookies

Multiply the amount of cocoa powder for 15 cookies (6 g) by the ratio we found.
So, $6\times\frac{1}{3} = 2$? Wait, no, wait. Wait, 5 is a third of 15? Wait, 15 divided by 5 is 3, so 5 is $\frac{1}{3}$ of 15? Wait, no, 53=15, so 5 is $\frac{1}{3}$ of 15? Wait, no, 15/5=3, so the factor is $\frac{5}{15}=\frac{1}{3}$. Wait, but 6 g for 15 cookies, so for 5 cookies, it's 6(5/15)=6(1/3)=2? But the options have 2g, 4g, 3g. Wait, maybe I made a mistake. Wait, let's check again. Wait, 15 cookies need 6g. So per cookie, it's 6/15 = 0.4g per cookie. Then 5 cookies would be 0.45=2g. So the answer should be 2g? But the options have 2g as an option. Wait, but let me check the calculation again. 6g for 15 cookies. So 5 cookies is (5/15)6 = (1/3)6 = 2g. So the correct answer is 2g.

Answer:

2g (corresponding to the option with "2g")