Question

8 a recipe says, \1 part cocoa to 4 parts sugar.\ how much sugar will you need if you use 20 grams of cocoa? a 20 grams of sugar b 40 grams of sugar c 120 grams of sugar d 80 grams of sugar

Explanation:

Step1: Understand the ratio

The recipe has a ratio of cocoa to sugar as \(1:4\), meaning for every 1 part of cocoa, we need 4 parts of sugar.

Step2: Calculate sugar for 20g cocoa

If 1 part of cocoa is 20 grams, then the amount of sugar (which is 4 parts) is \(20\times4 = 80\)? Wait, no, wait, let's check again. Wait, the ratio is 1 part cocoa to 4 parts sugar. So if cocoa is 20 grams (1 part), then sugar is 4 times that. Wait, \(20\times4 = 80\)? But looking at the options, D is 80 grams of sugar? Wait, maybe I misread the options. Wait the user's image: let's re - check. Wait the options: A:20, B:40, C:120, D:80? Wait maybe the original problem's option D is 80. Let's do the calculation again. The ratio of cocoa to sugar is \(1:4\). Let the amount of cocoa be \(C\) and sugar be \(S\). So \(\frac{C}{S}=\frac{1}{4}\), which means \(S = 4C\). Given \(C = 20\) grams, then \(S=4\times20 = 80\) grams. So the correct option should be D. But let's check the user's image again. Wait the user's image shows option D as "80 grams of sugar" (maybe a typo in the user's input, but based on the ratio calculation, 1 part cocoa (20g) needs 4 parts sugar, so 204 = 80g. So the correct answer is D. 80 grams of sugar. Wait, maybe the user made a typo in the option D, but according to the ratio, 1:4, so 204 = 80. So the correct option is D. 80 grams of sugar.

Answer:

D. 80 grams of sugar