Question

At the town picnic, 480 hot dogs and 320 hamburgers are barbequed. Find the maximum number of families that can attend if the hot dogs and hamburgers are divided equally for each family.(1 point)

160 families

40 families

80 families

120 families

Answer 1

To find the maximum number of families that can attend, we need to find the greatest common divisor (GCD) of 480 and 320.

The prime factorization of 480 is 2^5 * 3 * 5, while the prime factorization of 320 is 2^6 * 5.

The common factors are 2^5 and 5.

Taking the product of these common factors, we get 2^5 * 5 = 160.

Therefore, the maximum number of families that can attend is 160 families.

So the correct answer is 160 families.