A school has more than $100$ but fewer than $160$ stickers. - When packed in groups of $6$, ex

Question

A school has more than $100$ but fewer than $160$ stickers. - When packed in groups of $6$, exactly $2$ stickers are left over. - When packed in groups of $8$, exactly $2$ stickers are left over. - When packed in groups of $9$, exactly $2$ stickers are left over. How many stickers are there? The teacher removes the $2$ leftover stickers. She now distributes all the remaining stickers and $96$ bookmarks into the greatest possible number of identical gift packs. Find the number of packs and the contents of each pack. Optional hint: Subtract the common remainder before looking for a common multiple.

Accepted Answer

(a) $N=146$ (b) $48$ identical gift packs, each containing: $3$ stickers and $2$ bookmarks.

Primes, HCF and LCM

Primes, HCF and LCM

Solution:

Solution locked