Jenson's salary to Vincent's salary is 4 : 5. The former saves $1230 while the latter saves $1410. If Vincent's spending to Jenson's spending is in the ratio of 7 : 5, what are Jenson's and Vincent's salaries respectively?
- Jenson
- Vincent
| Jenson's salary |
Vincent's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1230 |
5 p |
$1410 |
7 p |
1230 + 5 p = 4 u --- (1)
1410 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 78610 +
35 p = 28 u
35 p = 28 u - 8610 --- (3)
(2)
x 57050 +
35 p = 25 u
35 p = 25 u - 7050 --- (4)
(3) = (4)
28 u - 8610 = 25 u - 7050
28 u - 25 u = 8610 - 7050
3 u = 1560
1 u = 1560 ÷ 3 = 520
(a)
Jenson's salary
= 4 u
= 4 x 520
= $2080
(b)
Vincent's salary
= 5 u
= 5 x 520
= $2600
Answer(s): (a) $2080; (b) $2600
