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) (Show Source): You can put this solution on YOUR website!
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(13215) (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
Their current salaries are 3x = 2400 and 5x = 4000.
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