Sample questions, answers, and how to
Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If there are 2400 red marbles. How many marbles does he have altogether?
Answer: 8000 marbles.
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How To: In this problem, we know that the Percent is 30, and we are also told that the Part of the marbles is red, so we know that the Part is 2400.
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 2400.
So step one is to just multiply that Part by 100.
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2400 × 100 = 240000
In step two, we take that 240000 and divide it by the “Percent”, which we are told is 30.
So, 240000 divided by 30 = 8000
And that means that the total number of marbles is 8000.
Question: A high school marching band has 2400 flute players, If 30 percent of the band members play the flute, then how many members are in the band?
Answer: There are 8000 members in the band.
How To: The smaller “Part” in this problem is 2400 since there are 2400 flute players and we are told that they make up 30 percent of the band, so the “Percent” is 30.
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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2400 × 100 = 240000
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For step two, we divide that 240000 by the “Percent”, which is 30.
240000 divided by 30 equals 8000
That means that the total number of band members is 8000.
Another step by step method
Step 1: Let’s assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 30% / 2400
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 2400
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 2400 ) Y
Step 5: Simplifying the right side, we get: 100 = 30 Y
Step 6: Dividing both sides of the equation by 30, we will arrive at 8000 = Y
This leaves us with our final answer: 2400 is 30 percent of 8000
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