Answer:
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.