Ivan has completed 45% of his walk. He has already walked 9 km. How much farther does he have left to walk?

I don't understand how to do this. Could you please help and show me how you got this answer? Thank you.

45% is just about half. So, you know right off he has about 9km left to go. (This is just for a sanity check)

So, the whole walk is 9/.45 = 20km
20-9 = 11 km left to go

The key idea here is figuring the total distance if you know some of it and the % that represents.

If you want to know what to divide by what, think of something easy.

If 9 kn were half the distance, the whole would be 18km, right?

That is 9 / (1/2) = 9*2 = 18
But you only have 45%, or .45
So, divide by .45 -- you expect a number a little more than 18.

Knowing a part and the fraction it represents, just divide the part by the fraction. Play around with some values till you feel comfortable with the idea.

45% of the total = 9

.45(x) = 9

divide both sides by .45

x = 9/.45

That will give you the total distance.

subtract 9 from that answer to get how much farther.

Sure, I can help you with that. To determine how much farther Ivan has left to walk, we need to find the remaining distance after he has completed 45% of his walk.

Step 1: Convert the percentage to decimal form.
45% is equivalent to 0.45 in decimal form (45 divided by 100).

Step 2: Calculate the distance already walked.
Ivan has already walked 9 km.

Step 3: Find the remaining distance.
Multiply the distance already walked by the remaining percentage (1 minus the completed percentage):
Remaining distance = (1 - 0.45) * 9 km

Step 4: Perform the calculation.
Remaining distance = 0.55 * 9 km

Step 5: Calculate the answer.
Remaining distance = 4.95 km

So, Ivan has left to walk a distance of 4.95 km.

Sure! To find out how much farther Ivan has left to walk, we need to calculate the remaining distance based on the percentage he has already completed.

Step 1: Find out what percentage of the total distance Ivan has already walked.
Since Ivan has completed 45% of his walk, this means he has walked 45% of the total distance.

Step 2: Calculate the total distance.
We are given that Ivan has already walked 9 km, so to find the total distance, we need to divide 9 km by 45% (0.45 in decimal form):
Total distance = 9 km / 0.45 = 20 km

Step 3: Calculate how much farther Ivan has left to walk.
The remaining distance is equal to the total distance minus the distance Ivan has already walked:
Remaining distance = Total distance - Distance already walked
Remaining distance = 20 km - 9 km = 11 km

Therefore, Ivan has 11 km left to walk.

I hope this explanation helps! Let me know if you have any additional questions.