Question

Suppose that a survey of fish in Idaho show that 56% of all trout in Idaho lakes are of legal size to keep. For Sunset Lake, 48 of the 88 fish sampled were of legal size to keep.

(a) What was the percent of legal-sized trout in Sunset Lake?

Answer 1

The percent of legal-sized trout in Sunset Lake is calculated by dividing the number of legal-sized trout by the total sampled and multiplying by 100, resulting in 54.55%.

Step-by-step explanation:

To find the percent of legal-sized trout in Sunset Lake, we use the information that 48 of the 88 fish sampled were of legal size to keep. The percentage can be calculated by dividing the number of legal-sized fish by the total number of fish sampled, and then multiplying by 100 to convert the fraction to a percentage.

Here's the step-by-step calculation:

1. Divide the number of legal-sized trout (48) by the total number of trout sampled (88): 48 ÷ 88 = 0.5455.
2. Multiply the result by 100 to get the percentage: 0.5455 × 100 = 54.55%.

Therefore, the percent of legal-sized trout in Sunset Lake is 54.55%.