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