Question

There are 312 mango bites, 260 eclairs and 156 coffee bites in a box. These are
to be put in packets so that each packet contains the same number of toffees.
Find the maximum number of toffees in each packet.​

Answer 1

Answer: There will be 52 chocolates in each of the 14 packets.

Explanation :

Total number of toffees

= total number of mango bites+ the total number of eclairs+ total number of coffee bites

= 312+260+156

=728

Therefore, there are 728 toffees in total.

Therefore, finding HCF of 312, 260 & 156,

312= 2³x3x13

260= 2²x5x13

156= 2²x3x13

therefore,

HCF= 2²x13

= 4x13

= 52

therefore, HCF is 52.

Therefore, the total number of packets required are:

728/52 =14

Therefore, there are 14 packets required to fill the given number of toffees.

Therefore, the maximum number of toffees in each of the 14 packets is 52.