A school bought many boxes of 100 candies each. The teachers opened all the boxes and gave 14 candies to each student, with 2 candies leftover at the end. The receipt shows the school bought 10{*} boxes of candies where the units digit, represented by {*}, was covered by a chocolate smudge. How many boxes of candies did the school buy?

Thanks for helping- Explain your answer too.

PocketThePenguin Sep 17, 2020

#1**+2 **

school bought 100 * (100 +x ) candies

by brute force x = 6 106 boxes

(10 000 +100x) mod 14 = 2 10600 mod 14 = 2

ElectricPavlov Sep 17, 2020