In a fast-food restaurant the ratio of people eating hamburgers to people eating chicken is 4 3. There are 84 people in the restaurant. How many people are eating hamburgers and how many are eating ch?

The ratio of people eating Hamburgers to those eating chicken is 4:3, which means for every 7 people, 4 eat hamburgers and 3 eat chicken. To find the number of groups of 7 in 84 people, we divide 84 by 7, resulting in 12 groups. Therefore, the number of people eating hamburgers is 4 groups × 12 = 48, and the number of people eating chicken is 3 groups × 12 = 36. So, 48 people are eating hamburgers and 36 are eating chicken.