If m percent of 50 is equal to 20 percent of n, then what is the value of m/n?

Thank you!

Well, well, well, looks like we've got a percentage problem here. Let's clown around with it, shall we?

If m percent of 50 is equal to 20 percent of n, we can express that mathematically as:

(m/100) * 50 = (20/100) * n

Now, let's multiply both sides by 100 to get rid of those pesky percentages:

m * 50 = 20 * n

Divide both sides by 50:

m = (20/50) * n

Simplifying it further:

m = (2/5) * n

So, the value of m/n is 2/5. Ta-da!

To find the value of m/n, we will first set up the equation given:

m percent of 50 = 20 percent of n

This can be written as:

m/100 * 50 = 20/100 * n

Simplifying further, we get:

m/2 = n/5

To find the value of m/n, we divide both sides of the equation by n:

(m/2) / (n/5) = 1

This can be written as:

m/n * 5/2 = 1

Now, we can find the value of m/n by multiplying both sides of the equation by 2/5:

m/n = 2/5

Therefore, the value of m/n is 2/5.

To find the value of m/n, we need to set up an equation based on the given information.

Let's break down the equation: "m percent of 50 is equal to 20 percent of n"

First, we need to convert the percentages to decimals. To convert m percent to decimal form, we divide m by 100: m/100. Similarly, to convert 20 percent to decimal form, we divide 20 by 100: 20/100.

Now, we can write the equation: (m/100) * 50 = (20/100) * n

To solve for m/n, we need to isolate the variable by getting rid of the fractions. We can do this by cross multiplying:

(m/100) * 50 = (20/100) * n
m * 50 = 20 * n

Divide both sides of the equation by n:
m * 50 / n = 20

Now, we can solve for m/n by dividing both sides of the equation by 50:
(m/n) = 20 / 50

Simplifying the right side, we have:
(m/n) = 2 / 5

Therefore, the value of m/n is 2/5.

m% of 50 is m/100 * 50 = m/2

20% of n is 20/100 n = n/5

m/2 = n/5
m/n = 2/5

check:

m=50, n=125

50% of 50 = 25
20% of 125 = 25
m/n = 2/5