Answer:
Step-by-step explanation:
- How To: In this problem, we know that the Percent is 17, and we are also told that the Part of the marbles is red, so we know that the Part is 51.
So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:
[tex] \frac{part}{total} = \frac{percent}{100} [/tex]
By using a simple algebra we can re-arrange our Percent equation like this:
[tex] \frac{part \: x \: 100}{percent} = total[/tex]
If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".
Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 51.
So step one is to just multiply that Part by 100.
[tex]51 × 100 = 5100[/tex]
In step two, we take that 5100 and divide it by the "Percent", which we are told is 17.
[tex]So, 5100 \: divided by \: 17 = 300[/tex]
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