Four extra-large sandwiches of exactly the same size were ordered for m students, where m &gt; 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwiches, it was evenly divided among the rema

Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwiches, it was evenly divided Print

Modified on: Tue, 12 Oct, 2021 at 1:32 PM

Concept:The question tests on the basics of framing equations and solving them.

Solution:

M students received 3 sandwiches

->Every student received 3/m sandwich.

The fourth sandwich was shared b/w (m-4) students.

Each student received 1 / (m-4) sandwich.

Carol has consumed the sandwich at both cases and hence she has consumed

3/m + 1/ (m-4) [These fractions represent sandwich consumed by 1 student ]

=3(m-4) + m / m (m-4)

=3m -12 + m / m (m – 4)

4m - 12 / m (m-4) option (e)

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