Final answer:
The number of Jon boats on the lake is found by identifying that each 'part' in the 8:3 ratio equals 8 boats. By multiplying 8 (boats per part) by 8 (parts for Jon boats), we calculate that there are 64 Jon boats on the lake.
Step-by-step explanation:
The question asks for the number of Jon boats on the lake given that the ratio of Jon boats to bass boats is 8:3 and there are a total of 24 bass boats. To solve this, consider the ratio of 8:3 as 8 parts Jon boats to 3 parts bass boats. Since there are 24 bass boats, which corresponds to 3 parts, we can find the value of one part by dividing 24 (the number of bass boats) by 3 (the parts for bass boats). This gives us 8, meaning each 'part' in our ratio is equal to 8 boats.
Therefore, to find the number of Jon boats, which are 8 parts, we multiply 8 (the number of boats per part) by 8 (the number of parts for Jon boats), which equals 64 Jon boats on the lake.