Students in a cooking class made 4 1/2 quarts of soup. they served 4/5 of the soup to friends. each serving is 3/5 quart. hector incorrectly says that there were 3 3/5 servings of soup. what is the correct number of servings? what did hector do wrong?

The correct number of servings = 6.

By saying there were servings of soup, Hector must have intended to say that there were quarts of soup for serving.

Step-by-step explanation:

Given:

Total quarts of soup made by students =

Fraction of the soup served to  friends =

Each serving = quarts

Hector incorrectly says that that there were servings of soup.

To find the correct number of servings and to identify Hector's mistake.

Solution:

Total quarts of soup made =

Fraction of total quarts served =

Thus, total quarts of soup served =

⇒

Thus, total quarts of soup for serving  = or

Each serving  = quarts

Total number of servings can be given as:

⇒

⇒

To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.

⇒

⇒

⇒ 6  servings

Thus, the correct number of servings = 6.

By saying there were servings of soup, Hector must have intended to say that there were quarts of soup for serving.

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