Question

Eva is putting bags of groceries to donate to charity. She has 10 boxes of macaroni and cheese and 15 cans of vegetables. What is the greatest number of bags of groceries Eva can put together, evenly dividing the contents?

a) 5
b) 10
c) 15
d) 30

Answer 1

The greatest number of bags Eva can put together is 5, by finding the GCD of 10 and 15.

Step-by-step explanation:

To find the greatest number of bags of groceries Eva can put together, we need to find the greatest common divisor (GCD) of the number of boxes of macaroni and cheese and the number of cans of vegetables.

The number of bags must be divisible by the GCD of 10 and 15.

The GCD of 10 and 15 is 5.

Therefore, the greatest number of bags of groceries Eva can put together, evenly dividing the contents, is 5.