24 red marbles is 40 of ____ marbles

Question: Your friend has a bag of marbles, and he tells you that 40 percent of the marbles are red. If there are 24 red marbles. How many marbles does he have altogether?

Answer: 60 marbles.

How To: In this problem, we know that the Percent is 40, and we are also told that the Part of the marbles is red, so we know that the Part is 24.

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 24.

So step one is to just multiply that Part by 100.

24 × 100 = 2400

In step two, we take that 2400 and divide it by the "Percent", which we are told is 40.

So, 2400 divided by 40 = 60

And that means that the total number of marbles is 60.

Question: A high school marching band has 24 flute players, If 40 percent of the band members play the flute, then how many members are in the band?

Answer: There are 60 members in the band.

How To: The smaller "Part" in this problem is 24 since there are 24 flute players and we are told that they make up 40 percent of the band, so the "Percent" is 40.

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.

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