Sample questions, answers, and how to
Question: Your friend has a bag of marbles, and he tells you that 25 percent of the marbles are red. If there are 3000 red marbles. How many marbles does he have altogether?
Answer: 12000 marbles.
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How To: In this problem, we know that the Percent is 25, and we are also told that the Part of the marbles is red, so we know that the Part is 3000.
So, that means that it must be the Total that’s missing. Here is the way to figure out what the Total is:
Part/Total = Percent/100
By using a simple algebra we can re-arrange our Percent equation like this:
Part × 100/Percent = Total
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 3000.
So step one is to just multiply that Part by 100.
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3000 × 100 = 300000
In step two, we take that 300000 and divide it by the “Percent”, which we are told is 25.
So, 300000 divided by 25 = 12000
And that means that the total number of marbles is 12000.
Question: A high school marching band has 3000 flute players, If 25 percent of the band members play the flute, then how many members are in the band?
Answer: There are 12000 members in the band.
How To: The smaller “Part” in this problem is 3000 since there are 3000 flute players and we are told that they make up 25 percent of the band, so the “Percent” is 25.
Again, it’s the “Total” that’s missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.
For step one, we multiply the “Part” by 100.
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3000 × 100 = 300000
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For step two, we divide that 300000 by the “Percent”, which is 25.
300000 divided by 25 equals 12000
That means that the total number of band members is 12000.
Another step by step method
Step 1: Let’s assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 25% / 3000
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 25 / 3000
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 25 / 3000 ) Y
Step 5: Simplifying the right side, we get: 100 = 25 Y
Step 6: Dividing both sides of the equation by 25, we will arrive at 12000 = Y
This leaves us with our final answer: 3000 is 25 percent of 12000
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