HELP Cornell makes 11/12 of a gallon of Tuscan white bean soup. He eats equal portions of the soup for 5 days, with no soup remaining after the fifth day. How many gallons of soup did Cornell eat each day? If necessary, enter your answer as a fraction. gallons​

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Solution:

Note that:

  • 11/12 gallons of soup = 5 days

Using cross multiplication:

  • 11/12 gallons of soup = 5 days
  • => 11 gallons of soup = 5 x 12 days
  • => 11 gallons of soup = 60 days

Using the division property of equality.

  • 11 gallons of soup = 60 days
  • => 11/60 gallons of soup = 60/60 days
  • => 11/60 gallons of soup = 1 day

Each day, Cornell ate 11/60 gallons of soup.

The amount of gallons of soup Cornell ate each day was 11/60

How to interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total [tex]x[/tex] parts, where [tex]x[/tex] is the number of parts the given number is divided.

Thus, [tex]a \div b[/tex] = a divided in b equal parts.

Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]

(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])

For the given case, we're given that:

Total amount of soup Cornell ate in 5 days = 11/12 gallons.
Cornell ate equal amount of soup each day.

Due to this equal amount of soup eating, we can use division.

The amount of soup Cornell ate each day = 11/12 divided in  5 equal parts

The amount of soup Cornell ate each day = [tex]\dfrac{11}{12} \div 5 = \dfrac{11}{12} \times {1}{5} = \dfrac{11}{60}[/tex]

Thus, the amount of gallons of soup Cornell ate each day was 11/60

Learn more about division here:

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