Math Problem F.2 Repack oranges in the bag

There are ten oranges per bag in several bags.

When this was repacked to fifteen oranges per bag, four bags remained.

How many bags are there?







Answer
Twelve

Solution
Since the number of oranges does not change, the number of required bags and the number of oranges in one bag becomes an inverse ratio.

Since the ratio of the number of oranges in one bag is 10 pieces : 15 pieces = 2 : 3, the number of required bags is 3 : 2.

3 - 2 = 1 of the difference of this ratio is equivalent to four sheets.

Therefore, number of bags is 4 sheets × 3= 12 sheets.