Jenson's salary to Lee's salary is 4 : 5. The former saves $1590 while the latter saves $1700. If Lee's spending to Jenson's spending is in the ratio of 5 : 3, what are Jenson's and Lee's salaries respectively?
- Jenson
- Lee
| Jenson's salary |
Lee's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1590 |
3 p |
$1700 |
5 p |
1590 + 3 p = 4 u --- (1)
1700 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 57950 +
15 p = 20 u
15 p = 20 u - 7950 --- (3)
(2)
x 35100 +
15 p = 15 u
15 p = 15 u - 5100 --- (4)
(3) = (4)
20 u - 7950 = 15 u - 5100
20 u - 15 u = 7950 - 5100
5 u = 2850
1 u = 2850 ÷ 5 = 570
(a)
Jenson's salary
= 4 u
= 4 x 570
= $2280
(b)
Lee's salary
= 5 u
= 5 x 570
= $2850
Answer(s): (a) $2280; (b) $2850
