Advanced Fraction Problem

Advanced Fraction Word Problem (Grade 7 level – CBSE/ICSE)

In a large community kitchen in Mumbai, three groups of volunteers were preparing food packets for flood relief.

  • Group A prepared 5/12 of the total packets on Monday.
  • Group B prepared 7/15 of the remaining packets on Tuesday.
  • Group C prepared 11/20 of what was still left after Tuesday’s work on Wednesday.

After Wednesday, 84 packets were still remaining to be prepared.

Questions:

a) What fraction of the total packets did Group C prepare?
b) How many packets did Group B prepare?
c) What was the total number of food packets prepared during these three days?
d) If each food packet required ¾ cup of rice, how many cups of rice were used in total during the three days?

Solve step-by-step. Show proper working with common denominators where needed.

(Expected difficulty: requires successive remaining fraction calculations, conversion between remaining and used fractions, and final application to quantity.)

Would you like to try solving it first, or shall I provide the complete step-by-step solution?