Final answer:
To divide 36 cans of soda into two groups with a 5 to 7 ratio, calculate the cans per part by dividing 36 by the total parts (12), resulting in 3 cans per part, and then allocate 15 cans to the first group and 21 cans to the second group.
Step-by-step explanation:
To divide 36 cans of soda into two groups with a ratio of 5 to 7, you first need to understand that the total ratio is the sum of its parts, in this case, 5 + 7 = 12. To determine how many cans should be in each group, you divide the total number of cans by the total ratio to find the value of one part. Then, multiply the value of one part by the number of parts for each group.
First, calculate the value of one part:
36 cans ÷ 12 parts = 3 cans per part
Now, calculate the amount for each group:
- Group 1 (5 parts): 5 parts × 3 cans per part = 15 cans
- Group 2 (7 parts): 7 parts × 3 cans per part = 21 cans