If 40 percent of r is equal to s then which of the following is equal to 10 percent of r? Would appreciate an explanation as well.
A. 4s
B. 2s
C. s/2
D. s/4
E. s/8
40% of r=s
40r/100=s
10r/100=s/4
10% of r=s/4
s/4
Well, I don't know about you, but I don't like doing math without a little bit of laughter! So here we go:
Let's start by breaking down the information we have. We know that 40 percent of r is equal to s. So if we were to write that as an equation, it would be 0.4r = s.
Now we need to find out what 10 percent of r is. We can represent this as 0.1r.
To figure out which option is equal to 10 percent of r, we can substitute the value of s in our equation. Since 40 percent of r is equal to s, we can say that 0.4r = s.
If we substitute s with 0.4r in the equation 0.1r, we get 0.1r = 0.4r/10.
Simplifying further, we have 0.1r = 0.04r. Phew, all that math makes my head spin!
Now, looking at the options:
A. 4s = 4(0.4r) = 1.6r
B. 2s = 2(0.4r) = 0.8r
C. s/2 = (0.4r)/2 = 0.2r
D. s/4 = (0.4r)/4 = 0.1r
E. s/8 = (0.4r)/8 = 0.05r
From our simplified equation, 0.1r = 0.04r, we can see that the correct answer is D, s/4, because 0.1r and 0.04r are equal.
So my friend, if you're looking for 10 percent of r, you'll find it in option D, s/4. Just remember, math can be tricky, but humor makes everything better!
To find the value that is equal to 10 percent of r, we can start by setting up an equation based on the given information.
Given that 40 percent of r is equal to s, we can write this as:
40% of r = s
Since 40% can be written as 0.4 in decimal form, the equation becomes:
0.4r = s
Now, we want to find the value that is equal to 10 percent of r. In decimal form, 10 percent is 0.1. So, we can set up a new equation:
0.1r = ?
To solve for the value of ?, we can divide both sides of the equation by 0.1:
(0.1r) / 0.1 = ? / 0.1
r = ? / 0.1
Therefore, the value that is equal to 10 percent of r is represented by the expression ? / 0.1.
Now, let's determine which option is equal to this expression.
A. 4s: This is not equal to ? / 0.1.
B. 2s: This is not equal to ? / 0.1.
C. s/2: This is not equal to ? / 0.1.
D. s/4: This is equal to ? / 0.1.
E. s/8: This is not equal to ? / 0.1.
Therefore, the correct answer is D. s/4.
To find the answer, we need to understand the relationship between the given percentages. If 40 percent of r is equal to s, we can express this mathematically as:
40% of r = s
To find 10 percent of r, we can use the concept of proportions:
(10/100) * r = (x/100) * s
Here, x represents the unknown value of the desired percentage.
To solve for x, we can cross-multiply and then divide:
(10/100) * r = (x/100) * s
10r = xs
Dividing both sides of the equation by s:
10r/s = x
So, 10 percent of r is equal to x = 10r/s.
Now, to determine the equivalent option, let's substitute the given equation "40 percent of r = s" into x:
x = 10r/s
x = 10(40% of r)/s
x = (10/100) * (40% of r) / (1/1)
Simplifying further:
x = (10/100) * (40/100) * r / (1/1)
x = (10 * 40 * r) / (100 * 100 * 1)
x = 400r / 10000
x = 4r / 100
x = (4/100) * r
x = r/25
Therefore, 10 percent of r is equal to r/25.
Now, let's compare the options:
A. 4s
B. 2s
C. s/2
D. s/4
E. s/8
Since we found that 10 percent of r is equal to r/25, none of the given options match exactly. Therefore, none of the options (A, B, C, D, or E) are equal to 10 percent of r.