Question: Your friend has a bag of marbles, and he tells you that 17 percent of the marbles are red. If there are 51 red marbles. How many marbles does he have altogether?
with explanation:
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Answers & Comments
Answer: 300 marbles.
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 17% / 51
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 17 / 51
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 17 / 51 ) Y
Step 5: Simplifying the right side, we get: 100 = 17 Y
Step 6: Dividing both sides of the equation by 17, we will arrive at 300 = Y
Answer:
Step-by-step explanation:
So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:
By using a simple algebra we can re-arrange our Percent equation like this:
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.
In step two, we take that 5100 and divide it by the "Percent", which we are told is 17.
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