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

Question

7805 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-26T03:02:35

The total length of the road is 125 km

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 $\frac{60}{100}$ $60/100$ .

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 $l$ $l$ while keeping the equation balanced:

$\frac{60}{100} \times l = 75 k m$ $60/100 xx l = 75 km$

$\frac{100}{60} \times \frac{60}{100} \times l = \frac{100}{60} \times 75 k m$ $100/60 xx 60/100 xx l = 100/60 xx 75 km$

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

$l = 125 km$

Answer 2 · 2016-12-26T03:03:45

$125$

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