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if you want to make 1 cookie how many eggs do you need? stoichiometry c…

Question

if you want to make 1 cookie how many eggs do you need?
stoichiometry
chocolate chip cookie recipe:
1 cup + 4 eggs + ⅓ cup + 1 cup + 1/2 cup →12
if i want only 1 cookie, then how much of each ingredient is needed?
1/12 cup + 1/3 egg +1/24 cup +1/12 cup +1/24 cup →1
1 egg
1/3 (a third) of an egg
4 eggs

Explanation:

Step1: Analyze the recipe

The original recipe makes 12 cookies with 4 eggs. To find the amount of eggs for 1 cookie, we use the ratio of eggs to cookies.

Step2: Set up the proportion

Let \( x \) be the number of eggs for 1 cookie. The proportion is \( \frac{4 \text{ eggs}}{12 \text{ cookies}}=\frac{x}{1 \text{ cookie}} \).

Step3: Solve for \( x \)

Cross - multiply: \( 12x = 4\times1 \). Then \( x=\frac{4}{12}=\frac{1}{3} \). We can also see from the given breakdown for 1 cookie, the amount of egg is \( \frac{1}{3} \) egg.

Answer:

B. \( \frac{1}{3} \) (a third) of an egg (assuming the options are labeled as A. 1 egg, B. \( \frac{1}{3} \) (a third) of an egg, C. 4 eggs)