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 the hand warmer and foot warmer packets. how man had warmer packets and foot warmer packets would each welcome kit have?
GCF(60,48) = 12
so, 12 packets
To find the greatest number of identical kits they can prepare using all of the hand warmer and foot warmer packets, we need to find the greatest common divisor (GCD) of 60 and 48. The GCD represents the largest number that can divide both 60 and 48 evenly.
To find the GCD, we can use the Euclidean algorithm:
Step 1: Divide 60 by 48:
60 ÷ 48 = 1 remainder 12
Step 2: Divide 48 by 12:
48 ÷ 12 = 4 remainder 0
Since we have a remainder of 0, the GCD is 12.
This means that they can prepare 12 identical kits using all of the hand warmer and foot warmer packets.
To determine how many hand warmer and foot warmer packets each welcome kit would have, we divide the total number of hand warmer packets (60) and foot warmer packets (48) by the number of kits (12):
Hand warmer packets per kit: 60 ÷ 12 = 5
Foot warmer packets per kit: 48 ÷ 12 = 4
Therefore, each welcome kit would have 5 hand warmer packets and 4 foot warmer packets.
To determine the greatest number of identical kits that can be prepared using all the hand warmer and foot warmer packets, we need to find the common factors of 60 and 48.
First, let's list the factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Now let's list the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The common factors of 60 and 48 are: 1, 2, 3, 4, 6, 12.
The greatest common factor (GCF) is 12.
So, the ski club can prepare a maximum of 12 identical welcome kits.
To determine the number of hand warmer and foot warmer packets in each kit, we divide the total number of hand warmers and foot warmers by the GCF.
Number of hand warmer packets per kit = 60 / 12 = 5
Number of foot warmer packets per kit = 48 / 12 = 4
Therefore, each welcome kit would have 5 hand warmer packets and 4 foot warmer packets.