You are making snack bags to sell at the fair. You want each bag to contain the same combination of carrot and celery sticks. You have 75 carrot sticks and 40 celery sticks and want to use them all. What is the greatest number of snack bags you can make?
3 snack bags
5 snack bags
9 snack bags
15 snack bags
To find the greatest number of snack bags you can make, you need to determine the greatest common divisor (GCD) of the number of carrot sticks (75) and celery sticks (40).
1. Factors of 75: 1, 3, 5, 15, 25, 75
2. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The common factors of 75 and 40 are 1 and 5. The greatest common factor is 5.
So, you can make 5 snack bags with each containing:
– Carrot sticks: 75 ÷ 5 = 15
– Celery sticks: 40 ÷ 5 = 8
Therefore, the answer is 5 snack bags.