The 60% length of a road is 75 km. How do you find the total length of the road?

2 Answers
Dec 26, 2016

The total length of the road is 125 km

Explanation:

We can rewrite this problem as:

60% of what is 75 km?

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as 60/10060100.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "l".

Putting this altogether we can write this equation and solve for ll while keeping the equation balanced:

60/100 xx l = 75 km60100×l=75km

100/60 xx 60/100 xx l = 100/60 xx 75 km10060×60100×l=10060×75km

color(red)(cancel(100))/color(blue)(cancel(60)) xx color(blue)(cancel(60))/color(red)(cancel(100)) xx l = 7500/60 km

l = 125 km

Dec 26, 2016

125

Explanation:

Let the total length of the road be x
60%=60/100=0.6
=> x xx 0.6=75
=> x =75/0.6=125