SOLUTION: The monthly salaries of Amanda and Zizipho are in the ratio 3:5.If each receives an increase of R200 in salary , the ratio is altered to 13:21.Determine the monthly salaries of Ama

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Question 1136506: The monthly salaries of Amanda and Zizipho are in the ratio 3:5.If each receives an increase of R200 in salary , the ratio is altered to 13:21.Determine the monthly salaries of Amanda and Zizipho.
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) About Me  (Show Source):
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a/z = 3/5

(a + 200) / (z + 200) = 13/21

in the second equation, cross multiply to get:

(a + 200) * 21 = (x + 200) * 12

simplify to get:

21 * a + 4200 = 13 * z + 2600

in a/z = 3/5, solve for a to get:

a = 3 * z / 5

in 21 * a + 4200 = 13 * z + 2600, replace a with 3 * z / 5 to get:

21 * 3 * z / 5 + 4200 = 13 * z + 2600

simplify to get:

63 * z / 5 + 4200 = 13 * x + 2600

multiply both sides of this equation by 5 to get:

63 * z + 21000 = 65 * z + 13000

solve for z to get z = 4000

since a = 3/5 * z, then a = 2400

2400 / 4000 = 24/40 = 3/5

2600 / 4200 = 26/42 = 13/21

solution checks out.

solution is amanda's salary is 2400 and zizipho's salary is 4000.


Answer by greenestamps(13214) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of their current salaries is 3:5. Avoid a lot of ugly computations with fractions by letting those salaries be 3x and 5x. Then

%283x%2B200%29%2F%285x%2B200%29+=+13%2F21
65x%2B2600+=+63x%2B4200
2x+=+1600
x+=+800

Their current salaries are 3x = 2400 and 5x = 4000.