Calculating Mountain Height from Percentage

MathematicsPercentagesEasy

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Madelyn hikes $190.5$ meters up a mountain. If she is $62\%$ of the way up, how tall is the mountain? Round it to the nearest WHOLE meter. (1 point)

118 meters

253 meters

307 meters

11,811 meters

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Step by Step Written Solution

1
Step 1

Let's solve this problem about Madelyn's hike. We are told she has hiked one hundred ninety point five meters, which represents sixty-two percent of the mountain's total height. We need to find the total height of the mountain to the nearest whole meter.

Hiking Problem

- Distance hiked: $190.5$ meters

- Percent of way up: $62\%$

2
Step 2

Let's define our variable first. We will let letter H represent the total height of the mountain.

$$H = \text{total height of the mountain}$$
3
Step 3

We can set up a basic percent equation. Sixty-two percent of the total height is equal to the distance she has already hiked.

$$62\% \times H = 190.5$$
4
Step 4

To solve this, we should convert the percentage to a decimal. Sixty-two percent is the same as decimal point six two.

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About This Question

Subject
Mathematics
Topic
Percentages
Difficulty
Easy
Question Type
Multiple Choice

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