If 2652 people out of 100,000 people were killed in 2003, how many were killed in 2000? The answer is 25% more than the amount killed in 2003.

Question

If 2652 people out of 100,000 people were killed in 2003, how many were killed in 2000? The answer is 25% more than the amount killed in 2003.

Answer 1

In the last sentence of the word problem, I believe you mean 25% more than how many were killed in 2003 no matter how many people altogether there were then.  To determine how many more by percentage, you determine the percentage (%) of the entire number so that you can use this plus (+) the percentage.  Here's how it goes:

 

25% of 2652 -- Now in this phrase, the % symbol means you move the decimal point 2 places to the left, and the keyword "of" means *, so you multiply.  Now this explanation will set up the problem like this:

 

.25*2652=663

 

So now 25% of 2652 is 663 to add to that entire number, so now comes the final step:

 

2652+663=3315

 

The final answer is that 3315 people out of 100,000 were killed in 2000.

 

Also, the fastest way to determine how much more or less by a percentage is n*(1+.01x) or n*(1-.01x), respectively, where n is the main number, and x is the percentage (i.e. a number followed by the symbol %).

Answer 2

This word problem is confusing because it gives a lot of distracting numbers.  The question is "How many people (per 100,000) were killed in 2000?"

The other information given is that there was 25% higher right of people killed in 2000 than in 2003 and that there were 2652 (per 100,000) people killed in 2003.

To solve the this problem, we need to find out what 125% of 2652 is.

Since we convert a percent to a decimal by moving the decimal 2 places to the right, we are working with 1.25.  Since the word "of" in a percentage problem means multiply, the problem will read as:

1.25 X 2652 = 3315

3315 people (per 100,000) were killed in 2000.