Question

For a dinner party Abraham is creating Individual Serving of starters. He has nine carrot sticks and 18 Celery sticks if he wants each serving to be identical with no food left over what is the greatest number of servings Abraham can create?

Answer 1

Answer:
`9\ servings`

Explanation:

You know that Abraham has 9 carrot sticks and 18 Celery sticks.

In order to calculate the greatest number of servings Abraham can create, you need to find the Greatest Common Factor (GCF).

The procedure to find the Greatest common factor is:

1. Descompose 9 and 18 into their prime factors.

2. Multiply the commons factors with their lowest exponents.

Then, in this case you get:

`9=3*3=3^2\\\\18=2*3*3=2*3^2`

`GCF=3^2=9`

Therefore, the greatest number of servings Abraham can create is:

`9\ servings`