+0  
 
+1
58
1
avatar+85 

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.

 Sep 17, 2020
 #1
avatar+27699 
+2

school bought   100 * (100 +x )   candies

by brute force   x = 6     106 boxes

 

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

 Sep 17, 2020

63 Online Users

avatar
avatar