A recipe calls for 14 cups of flour and 6 cups of sugar. Will the two recipes be proportional if the recipe decreases to 7 cups of flour and 3 cups sugar?

The two recipes are proportional to each other.

Explanation:

Given:

Amount of flour initially = 14 cups

Amount of sugar = 6 cups

Ratio of flour to sugar initially = 14 / 6

                                                 = 7 : 3

Changed amount of flour is 7 cups

Changed amount of sugar = 3 cups

So,

14 - x = 7

     x = 7

6 - y = 3

    y = 3

The ratio of flour to sugar after changing the amount = 7 : 3

Therefore, the two recipes are proportional to each other.

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