Home
/
Math
/
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

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

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

expert verifiedVerification of experts

Answer

4.7244 Voting
avatar
HarryElite · Tutor for 8 years

Answer

Thyrsa still has approximately 6.802 miles left to run in the marathon.

Explain

## Step 1:<br />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%.<br /><br />## Step 2:<br />Let \(n \) represent the part of the marathon that Thyrsa still has to run. We can write a proportion to solve for \( n \).<br /><br />### \(\frac{n}{26.2} = \frac{26}{100}\)<br /><br />## Step 3:<br />Cross-multiply to solve for \(n \).<br /><br />### \(100n = 26 \times 26.2\)<br /><br />## Step 4:<br />Solve the equation for \(n \).<br /><br />### \(100n = 680.2\)<br /><br />### \(n = \frac{680.2}{100}\)<br /><br />## Step 5:<br />Simplify the fraction to find the distance that Thyrsa still has to run.<br /><br />### \(n = 6.802\)<br /><br />Alternatively, you could also find the answer by writing and solving an equation:<br /><br />## Step 6:<br />The part is equal to the percentage of the whole.<br /><br />### \(n = 26\% \times 26.2\)<br /><br />## Step 7:<br />Convert the percentage to a decimal and multiply by the whole.<br /><br />### \(n = 0.26 \times 26.2\)<br /><br />## Step 8:<br />Solve the equation for \(n \).<br /><br />### \(n = 6.802\)
Click to rate:

Hot Questions

More x