Suppose that A = D + E and that D/A = 0.80. Solve for D/E.
These are the steps I have taken, but I don't know how to proceed.
1. Divide A = D + E by A.
2. 1 = .80 + E/A
3. .20 = E/A
4. A/A = 1, D/A = .80, E/A = .20.
given: D/A = .8 = 8/10 = 4/5
5D = 4A
A = 5D/4
from A = D + E, since we want D/E, why not divide the equation by E to create the D/E in your equation ?
A/E = D/E + 1
(5D/4)/E = D/E + 1
5D/(4E) - 4D/(4E) = 1
D/(4E) = 1
D/E = 4
A+D=
To solve for D/E, we need to express E in terms of D. Let's proceed with the steps you've already taken:
1. We start with the equation A = D + E and divide both sides by A:
A/A = (D + E)/A
1 = D/A + E/A
2. Since it's given that D/A = 0.80, we substitute this value into the equation:
1 = 0.80 + E/A
3. Now, we need to solve for E/A. To isolate E/A, we subtract 0.80 from both sides:
1 - 0.80 = E/A
0.20 = E/A
4. Since A/A is equal to 1, we can write E/A = 0.20 as E = 0.20 * A.
Now, we have E in terms of A. To find D/E, we substitute E = 0.20 * A back into the equation A = D + E:
A = D + E
A = D + 0.20 * A
To solve for D, we isolate D on one side:
D = A - 0.20 * A
D = 0.80 * A
Now, we can calculate D/E:
D/E = (0.80 * A) / (0.20 * A)
D/E = 4
Therefore, D/E is equal to 4.