A shopkeeper had 410 tangerines. He put some of them into 15 cartons containing 12 tangerines each. He then put the rest into 14 cartons, each containing the same number of tangerines.

Question

A shopkeeper had 410 tangerines. He put some of them into 15 cartons containing 12 tangerines each. He then put the rest into 14 cartons, each containing the same number of tangerines.
(a) How many tangerines were in each of the 14 cartons?
(b) How many tangerines were left?

mathhelper · Answer

15*14 + 14*x = 410 x = 200/14 = 14 4/14 <===== 14*14 + 4 = 200 make use of this bit of arithmetic