a runner eats granola bars for energy on her 100.0 mile run. Each bar contains 250.1 calories She burns 96.15 calories per km that she runs. How many granola bars does she need to equal the number of calories that she burns?
There are also answers to choose from:
a)39 bars, b)419 bars, c)62 bars, d)24 bars, e)3,867,634 bars, f) 1 bar
I got 24 bars as my answer, but that didn't seem to be the right answer.
100 mi = 160.932 km
(96.15 cal/km) x 160.932 km x (1 bar/250.1 cal) = ? and round to whole number.
To determine the number of granola bars needed to equal the number of calories the runner burns, we need to calculate the total calories burned during the run and then divide that by the number of calories in each granola bar.
First, let's calculate the total calories burned during the run. The runner is running a distance of 100 miles, and for every 1 km she runs, she burns 96.15 calories.
To convert 100 miles to km, we can use the conversion factor 1 mile = 1.60934 km.
Distance in km = 100 miles * 1.60934 km/mile = 160.934 km
Now, let's calculate the total calories burned during the run:
Total calories burned = Calories burned per km * Distance in km
Total calories burned = 96.15 calories/km * 160.934 km
Total calories burned = 15,489.729 calories (rounded to the nearest calorie)
Next, let's determine how many granola bars are needed to equal the number of calories burned:
Number of granola bars = Total calories burned / Calories per granola bar
Number of granola bars = 15,489.729 calories / 250.1 calories per bar
Number of granola bars ≈ 61.92
Rounding to the nearest whole number, the correct answer would be 62 bars. Therefore, the correct answer from the given options is (c) 62 bars.