Anna is making fruit punch and iced tea to serve during the day. She starts brewing the tea for the iced tea. The recipe for iced tea requires 3 tea bags for every 5 cups of water.

Write an equation that can be used to determine the amount of water, c, in cups, needed for t tea bags.
While the tea is brewing Anna start to make the fruit punch,

3t = 5c

Water(cups) = 5c/3t = 1.7t.

Water(cups) = 1.7t. T is the # of tea bags required.

To determine the amount of water, c, in cups needed for t tea bags, we can use the following equation:

c = (5/3) * t

This equation states that for every 3 tea bags, we use 5 cups of water. Therefore, to scale the amount of water accordingly, we multiply the number of tea bags, t, by the ratio of 5/3.

While the tea is brewing, Anna starts making the fruit punch.