In the ratio of beach towels to people (4:7), for 12 towels, there are 21 people; for 56 people, there are 32 towels; and for 48 towels, there are 84 people. The filled values in the table are 12:21, 32:56, 48:84, and 60:150, respectively.
To determine the missing values for beach towels and people, we can use the given ratio of beach towels to people, which is 4 to 7. The ratio implies that for every 4 beach towels, there are 7 people.
Let's fill in the missing values:
First Row (12 Beach Towels): If the ratio is 4 beach towels to 7 people, for 12 beach towels, we can find the corresponding number of people: People = (12 beach towels / 4 beach towels per person) * 7 people = 3 * 7 = 21 people
Second Row (56 People): If the ratio is 4 beach towels to 7 people, for 56 people, we can find the corresponding number of beach towels: Beach Towels = (56 people / 7 people per beach towel) * 4 beach towels = 8 * 4 = 32 beach towels
Third Row (48 Beach Towels): If the ratio is 4 beach towels to 7 people, for 48 beach towels, we can find the corresponding number of people: People = (48 beach towels / 4 beach towels per person) * 7 people = 12 * 7 = 84 people
The filled table is as follows:
Beach Towels | People
12 | 21
32 | 56
48 | 84
60 | 150