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.