Question

A baker uses 1/2 cup of water for every 1/4 cup of sugar in a syrup recipe. If the baker follows the recipe proportions, which statements are true?
Select ALL that apply.


A: The baker uses 1/2 cup of sugar for every cup of water because 1/4 ÷ 1/2 = 1/2.

B: The baker uses 1/2 cup of sugar for every cup of water because 1/2 ÷ 1/4 = 1/2.

C: The baker uses 2 cups of sugar for every cup of water because 1/2 ÷ 1/4 = 2.

D: The baker uses 2 cups of water for every cup of sugar because 1/4 ÷ 1/2 = 2.

E: The baker uses 2 cups of water for every cup of sugar because 1/2 ÷ 1/4 = 2.

Answer 1

The statements which are true are;

• Choice B: The baker uses 1/2 cup of sugar for every cup of water because 1/2 ÷ 1/4 = 1/2.
• Choice E: The baker uses 2 cups of water for every cup of sugar because 1/2 ÷ 1/4 = 2.

Ratios and Proportions

Since the baker uses 1/2 cup of water for every 1/4 cup of sugar.

Considering proportions; we have;

• 1 cup of water for every 1/2 cup of sugar

Or

• 2 cups of water for every cup of sugar;

This is because, 1/2 ÷ 1/4 = 2.

Read more on ratios and Proportions;

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