Answer:
60 marbles
Step-by-step explanation:
- How To: In this problem, we know that the Percent is 5, and we are also told that the Part of the marbles is red, so we know that the Part is 3.
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 3.
So step one is to just multiply that Part by 100.
3 × 100 = 300
In step two, we take that 300 and divide it by the "Percent", which we are told is 5.
So, 300 divided by 5 = 60
And that means that the total number of marbles is 60.
- Another step by step method
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 5% / 3
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 5 / 3
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 5 / 3 ) Y
Step 5: Simplifying the right side, we get: 100 = 5 Y
Step 6: Dividing both sides of the equation by 5, we will arrive at 60 = Y
#carryonlearning
#solved
