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------------------------------------------------ To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.

A. 12 eggs / 2 tbsp
B. 15 eggs / 3 tbsp
C. 24 eggs / 4 tbsp
D. 9 eggs / 1.5 tbsp

The equivalent ratios to the given rate of 1 tbsp butter to 6 eggs are a. 12 eggs to 2 tbsp butter, c. 24 eggs to 4 tbsp butter, and d. 9 eggs to 1.5 tbsp butter.

Explanation:

The given ratio is 1 tablespoon of butter for every 6 eggs. In all the ratios provided, we need to check whether it matches this. This applies much like the stoichiometric relationships used in other scenarios like cooking where ingredients are in proportion to each other.

A ratio equivalent to the original would keep the same proportional relationship. That means, if you divide the larger quantity by the smaller one, you should have the same value for both the given ratio and the one you're comparing.

a. 12 eggs / 2 tbsp = 6. This is the same as the original ratio, so a is equivalent.
b. 15 eggs / 3 tbsp = 5. This does not match the original ratio, so b is not equivalent.
c. 24 eggs / 4 tbsp = 6. This matches the original ratio, so c is equivalent.
d. 9 eggs / 1.5 tbsp = 6. This matches the original ratio, so d is equivalent.

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