A school receives three consignments of exercise-books containing 96, 120 and 150…
MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers
Problem
A school receives three consignments of exercise-books containing 96, 120 and 150 books respectively. The books have to be packed into cartons such that:
• each carton contains the same number of books, and
• no carton contains books from more than one consignment.
(i) Determine the greatest possible number of books that can be packed in each carton.
(ii) How many cartons will be needed for each consignment?
(iii) If later the school wants a new shipment day that will coincide for the three consignments again, after how many days will all three shipment days fall together if the present shipment days are 6, 8 and 10 days apart from today respectively?