Question

A park ranger finds that 35% of the park's visitors stay at the campground. if 105 visitors stayed at the campground one day, how many visitors did the park have that day?

can you please explain it too.

Answer 1

To determine the total number of visitors in the park, we set up a proportion with the given percentage, 35%, and the number of visitors who stayed at the campground, 105. Solving this proportion reveals that the park had 300 visitors that day.

Step-by-step explanation:

The question relates to the concept of percentages in mathematics. We are given that 35% of the park's visitors stay at the campground, and it is known that 105 visitors stayed at the campground. To find the total number of visitors, we can set up a proportion where 35% corresponds to the 105 visitors that stayed at the campground.

Step 1: Convert the percentage to a decimal by dividing by 100. So, 35% becomes 0.35.

Step 2: Use the proportion to find the total number of visitors. Let the total number of visitors be X. Then, we can write the equation:
0.35 (X) = 105

Step 3: Solve for X by dividing both sides of the equation by 0.35:
X = 105 / 0.35
X = 300

Therefore, the park had 300 visitors that day.

Answer 2

The park had 300 visitors that day

Step-by-step explanation:

The park ranger finds that 35 percents of their visitors stay at the camp ground. This means if y numbers of visitors visits the park, it is likely 35% of y stayed at the campground.

According to the question, a particular day 105 visitors stayed at the camp ground. The visitors that stayed at the campground that day represent 35% of the visitors that visited the park.

Let us make the number of people that visited the park = y

35% of y can be computed below ;

35/100 × y = 105

35y/100 = 105

cross multiply

35y = 10500

y = 10500/35

y = 300