If 8% of c is equal to 12% of d, which of the following is equal to c+d?
What following?
.08c = .12d
2c = 3d
so, c+d = 3/2 d+d = 5/2 d
or c + 2/3 c = 5/3 c
Not sure what your choices are...
To solve this problem, we need to set up an equation based on the given information and then solve for the value of c+d.
Let's start by defining the problem:
8% of c is equal to 12% of d.
Mathematically, this can be written as:
0.08c = 0.12d
To find a value for c+d, we need to find the relationship between c and d.
To do this, we will isolate c in terms of d:
0.08c = 0.12d
Divide both sides of the equation by 0.08:
c = 0.12d / 0.08
Simplify the fraction on the right side of the equation:
c = 1.5d
Now we have a relationship between c and d.
To find the value of c+d, substitute the value of c from the equation into c+d:
c + d = 1.5d + d
Combine like terms:
c + d = 2.5d
Therefore, c+d is equal to 2.5d.
Now we can see that c+d is equal to 2.5 times the value of d.
to simplify .08c = .12d
multiply both sides by 100 to get
8c = 12d
Now divide both sides by 4 to get
2c = 3d
c = 3/2 d
c + d
3/2 d + 2/2 d = 5/2 d