Question

Do use 30 sandwiches and 42 granola bars to make identical picnic basket you make the greatest number of picnic baskets with no food left over how many sandwiches and how many granola bars are in each basket

Answer 1

To make identical picnic baskets with no food left over, you need to find the greatest common divisor (GCD) of 30 (sandwiches) and 42 (granola bars). The GCD is the largest number that evenly divides both quantities.

The GCD of 30 and 42 is 6.

So, each picnic basket will contain 6 sandwiches and 6 granola bars to use up all the food with nothing left over.
———

Certainly, here's the calculation to find the greatest common divisor (GCD) of 30 (sandwiches) and 42 (granola bars):

1. Find the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
2. Find the factors of 42: 1, 2, 3, 6, 7, 14, 21, 42.

Now, identify the largest number that appears in both lists:

The GCD of 30 and 42 is 6.

So, each picnic basket will contain 6 sandwiches and 6 granola bars to use up all the food with nothing left over.