Question

Ski club members are preparing identical welcome kits for new skiers. the ski club has 60 hand-warmer packets and 48 foot-warmer packets. find the greatest number of identical kits they can prepare using all of hand warmer and foot warmer packets. how many hand warmer packets and foot warmer packets would each welcome kit have

Answer 1

You have to find the greatest common factor GCF for each number, you can do it for both at the same time:

             foot ----  hand
GCF       48          60
   2          24          30
   2          12          15
   3           4            5
From here you dont have more numbers (GCF) for this pair, now for finding the greatest number of identical kits multiply the GCFs: 2*2*3=12 you have 12 kits containing 4 foot-warmer packets and 5 hand-warmer packets (from table the last row in foot and hand)