SOLUTION: A’s income is rs.140 more than B’s & C’s income rs.80 more than D’s . If the ratio of A’s & C’s income is 2:3 and the ratio of B’s & D’s income is 1:2. Find the income of each.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A’s income is rs.140 more than B’s & C’s income rs.80 more than D’s . If the ratio of A’s & C’s income is 2:3 and the ratio of B’s & D’s income is 1:2. Find the income of each.      Log On


   

Question 1063659: A’s income is rs.140 more than B’s & C’s income rs.80 more than D’s . If the ratio of A’s & C’s income is 2:3 and the ratio of B’s & D’s income is 1:2. Find the income of each.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you are given:

A = B + 140
C = D + 80
A/C = 2/3
B/D = 1/2

since A/C = 2/3, and since A = B + 140 and C = D + 80, you get:

2/3 = (B + 140) / (D + 80)

cross multiply to get:

2 * (D + 80) = 3 * (B + 140)

simplify to get:

2D + 160 = 3B + 420

from B/D = 1/2, solve for D to get D = 2B

replace D with 2B in 2D + 160 = 3B + 420 to get:

4B + 160 = 3B + 420

solve for B to get B = 260

since D = 2B, you get D = 520

since A = B + 140, and since B = 260, you get A = 400

since C = D + 80, and since D = 520, you get C = 600

your results are:

A = 400
B = 260
C = 600
D = 520

A = B + 140 becomes 400 = 260 + 140 which becomes 400 = 400 which is true.

C = D + 80 becomes 600 = 520 + 80 which becomes 600 = 600 which is true.

A/C = 2/3 becomes 400 / 600 = 2/3 which becomes 2/3 = 2/3 which is true.

B/D = 1/2 becomes 260 / 520 = 1/2 which becomes 1/2 = 1/2 which is true.

solution looks good.