A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar. At this rate how many cups of sugar should be used if 5 cups of flour is needed

1⅔ cup

Step-by-step explanation:

You need ⅔ cup of sugar for every 2 cups of flour.

For 5 cups of flour,

Volume of sugar = 5 cups flour * (⅔ cup sugar/2 cup flour)

= 5 * ⅔ * ½ Divide numerator and denominator by 2

= 5 * ⅓

= ⁵/₃ Convert to mixed number

= 1⅔ cup

Five cups of flour take 1⅔ cup of sugar.