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)
Responses
80 families
80 families
160 families
160 families
40 families
40 families
120 families
To find the maximum number of families that can attend, we need to determine the greatest common divisor (GCD) of 480 and 320. The GCD of 480 and 320 is 160.
Dividing 480 by 160, we get 3.
Dividing 320 by 160, we get 2.
Therefore, each family can be given 3 hot dogs and 2 hamburgers.
To find the maximum number of families, we divide the total number of hot dogs and hamburgers (800) by the total number of food items each family can have (5).
800 รท 5 = 160
Therefore, the maximum number of families that can attend is 160.