Question

sarah is creating emergency backpacks for class at costco she bought 42 first aid kits 24 batteries and 48 bottles of water. each every backpack need equal amount of supplies then what is the largest number of backpack that sarah can make. how much of each item would be in a backpack

Answer 1

Sarah can create 6 emergency backpacks, with each backpack containing 7 first aid kits, 4 batteries, and 8 bottles of water.

Step-by-step explanation:

Sarah is looking to create emergency backpacks with a set number of supplies: 42 first aid kits, 24 batteries, and 48 bottles of water. To determine the largest number of backpacks she can make with an equal amount of each item, we need to find the greatest common divisor (GCD) of the quantities of the items she has. The GCD of 42, 24, and 48 is 6. This means Sarah can create 6 emergency backpacks with an equal distribution of supplies.

Now, let's calculate how much of each item will be in each backpack:

First aid kits: 42 kits / 6 backpacks = 7 first aid kits per backpack

Batteries: 24 batteries / 6 backpacks = 4 batteries per backpack

Bottles of water: 48 bottles / 6 backpacks = 8 bottles of water per backpack

Therefore, each emergency backpack will contain 7 first aid kits, 4 batteries, and 8 bottles of water.