Mark's salary to Tim's salary is 4 : 5. The former saves $1050 while the latter saves $1050. If Tim's spending to Mark's spending is in the ratio of 5 : 3, what are Mark's and Tim's salaries respectively?
- Mark
- Tim
| Mark's salary |
Tim's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1050 |
3 p |
$1050 |
5 p |
1050 + 3 p = 4 u --- (1)
1050 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 55250 +
15 p = 20 u
15 p = 20 u - 5250 --- (3)
(2)
x 33150 +
15 p = 15 u
15 p = 15 u - 3150 --- (4)
(3) = (4)
20 u - 5250 = 15 u - 3150
20 u - 15 u = 5250 - 3150
5 u = 2100
1 u = 2100 ÷ 5 = 420
(a)
Mark's salary
= 4 u
= 4 x 420
= $1680
(b)
Tim's salary
= 5 u
= 5 x 420
= $2100
Answer(s): (a) $1680; (b) $2100
