Suppose A-D=E, thAt N= 15,200, E/A= .40 and N/E=.25. compute D/A
as N/E = .25, N = .25 * E
-> E = 60,800 as 15,200 = .25 * E
as E/A = .40, E = .40 * A
-> A = 152,000 as 60,800 = .40 * A
as A - D = E, - D = E - A
as - D = - 91,200, D = 91,200
-> D/A = 91,200 / 152,000 = .60
easier way:
A-D=E , divide each term by A
A/A - D/A = E/A
1 - D/A = .40
1 - .40 = D/A
D/A = .60
N never entered the picture.
To compute D/A, we first need to determine the values of A, D, and E.
From the given information:
- N = 15,200
- E/A = 0.40
- N/E = 0.25
Let's start by rearranging the equation A - D = E to solve for A:
A = D + E
Now, we can substitute the value of E/A into the equation:
0.40 = E/A
0.40 = (D + E)/A
Next, we can rearrange the equation N/E = 0.25 to solve for E:
E = N / 0.25
E = 15,200 / 0.25
E = 60,800
Substituting the value of E into the equation 0.40 = (D + E)/A:
0.40 = (D + 60,800)/A
Now, let's solve for D. We rearrange the equation to isolate D:
0.40A = D + 60,800
D = 0.40A - 60,800
Finally, we can substitute the value of D into the equation D/A to compute D/A:
D/A = (0.40A - 60,800) / A
Simplifying further,
D/A = 0.40 - 60,800/A
Therefore, D/A is equal to 0.40 - 60,800/A.