Here is my problem:

What number increased by 6% of itself equals 2650?

I've gotton to the point of: 1.06x=2650 0VER 1.06(in a fraction). But I'm stuck on what to do next. Hellllp.:(

Printable View

- Jun 4th 2007, 11:33 AMGoing PostalWord Problems involving percents.
Here is my problem:

What number increased by 6% of itself equals 2650?

I've gotton to the point of: 1.06x=2650 0VER 1.06(in a fraction). But I'm stuck on what to do next. Hellllp.:( - Jun 4th 2007, 11:39 AMJhevon
i don't see your problem

Let the number be $\displaystyle x$

$\displaystyle x + 6 \% x = 2650$

$\displaystyle \Rightarrow x + 0.06x = 2650$

$\displaystyle \Rightarrow 1.06x = 2650$ .......Now divide both sides by 1.06

$\displaystyle \Rightarrow x = \frac {2650}{1.06}$

$\displaystyle \Rightarrow x = 2500$

Note that "percentage" is just a fancy word for "over 100." so 6% means 6/100, 25% means 25/100. also note that "of" means "multiply." so 6% of x means 6/100 * x = 0.06 * x = 0.06x. and that's what we added to x - Jun 4th 2007, 11:40 AMPterid
Well, let's call the number you're looking for $\displaystyle x$, as you did.

Then, notice that if you take $\displaystyle x$ and "add it to 6% of itself", you just get

$\displaystyle x + \{ \textrm{6\% of }x\} = x + 0.06 \times x = 1.06 \times x$

So your problem is just this:

$\displaystyle 1.06 \times x = 2650$

so that $\displaystyle x = \frac{2650}{1.06} = 2500$

*(Edit: My apologies, Jhevon was there first)* - Jun 4th 2007, 11:47 AMGoing Postal
Ahhh. Mental errors.:( Might not would happen if my mom would get off my case.:mad: Thanks to both of you.