Question
Thyrsa is running a marathon which is 26.2miles long. She has 26% of the distance left to run. How long is that in miles? square
Answer
4.7
(244 Votes)
Harry
Elite · Tutor for 8 years
Answer
Thyrsa still has approximately 6.802 miles left to run in the marathon.
Explanation
## Step 1:First, identify the 'whole' and the 'percentage' from the problem. The 'whole' is the total distance of the marathon, which is 26.2 miles. The 'percentage' is the portion of the marathon that Thyrsa still has to run, which is 26%.## Step 2:Let
represent the part of the marathon that Thyrsa still has to run. We can write a proportion to solve for
.###
## Step 3:Cross-multiply to solve for
.###
## Step 4:Solve the equation for
.###
###
## Step 5:Simplify the fraction to find the distance that Thyrsa still has to run.###
Alternatively, you could also find the answer by writing and solving an equation:## Step 6:The part is equal to the percentage of the whole.###
## Step 7:Convert the percentage to a decimal and multiply by the whole.###
## Step 8:Solve the equation for
.###