If 8% of c is equal to 12% of d, which of the following is equal to c + d?
a)1.5d
b)2d
c)2.5d
d)3d
e)5d
I tried replacing the variables with numbers to make it easier. I came up with
8% of 600 = 12% of 400, both equal 48. And then 600 + 400 = 1000 but that's not one of the choices. I need help because I don't know how to approach the problem.
.08c = .12d
8c = 12d
2c = 3d
c = 3d/2
then c+d
= 3d/2 + d
= 3d/2 + 2d/2
= 5d/2 or 2.5d
in your specific case, you let
c = 600 and d = 400
then c+d = 1000 , like you had
now isn't 1000 = 2.5(400) or 2.5d ?
Thank you
To solve this problem, we need to set up an equation using the given information and then solve for c + d.
Let's start by translating the given information into an equation. We are told that "8% of c is equal to 12% of d." Mathematically, we can write this as:
0.08c = 0.12d
To simplify the equation, we can divide both sides by 0.08:
c = 0.12d / 0.08
c = 1.5d
Now we have found a value for c in terms of d.
To find c + d, we substitute the value of c we just found into the expression:
c + d = 1.5d + d
Combining like terms, we get:
c + d = 2.5d
So the correct answer is option c) 2.5d.