| X | 1 | 2 | 4 | 5 | 10 |
| Y | 4 | 8 |16|20| 40 |
Answer:
5 Bags
Step-by-step explanation:
There are 75 carrots and 40 celery sticks.
If we want each bag to have the same combination, the greatest number of bags we can make is determined by the Greatest common divisor of the two numbers.
To find the Greatest common divisor of 70 and 40
<u>Step 1:</u> Express each number as a product of its prime factors
- 40=2 X 2 X 2 X 5
- 75=3 X 5 X 5
<u>Step 2:</u> Pick each pair of common factors.
- 40=2 X 2 X 2 X 5
- 75=3 X 5 X 5
The only factor common to both pairs is 5.
Therefore, the Greatest common divisor of 70 and 40 is 5.
The greatest number of bags that can be made is 5.
