Hey bro! So, let's break down this cool fairy and pixie dust problem.
The fairy's got this 2% solution, right? That means in her mix, 2% of it is pure pixie dust, and the rest is water. Now, after the party, all the water evaporates, and she's left with just the pixie dust.
Here's the key: If she ends up with 30 grams of pixie dust, that 30 grams was originally just 2% of the whole solution. We gotta figure out what that whole solution weighed before the sun did its thing.
To solve this, think of it like this: 2% (the pixie dust) of the total solution = 30 grams. In math language, that's like saying 0.02 times the total solution equals 30 grams. So, the equation looks like this: [tex]\(0.02 \times \text{total solution} = 30\).[/tex]
To find the total solution, you just divide 30 grams by 0.02. Let me do the math real quick...
So, after doing the math, the total solution the fairy had before the water evaporated was 1500 grams. That's a lot of magic potion! ✨
