Vincent's salary to Elijah's salary is 5 : 6. The former saves $1850 while the latter saves $2040. If Elijah's spending to Vincent's spending is in the ratio of 3 : 2, what are Vincent's and Elijah's salaries respectively?
- Vincent
- Elijah
| Vincent's salary |
Elijah's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1850 |
2 p |
$2040 |
3 p |
1850 + 2 p = 5 u --- (1)
2040 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 35550 +
6 p = 15 u
6 p = 15 u - 5550 --- (3)
(2)
x 24080 +
6 p = 12 u
6 p = 12 u - 4080 --- (4)
(3) = (4)
15 u - 5550 = 12 u - 4080
15 u - 12 u = 5550 - 4080
3 u = 1470
1 u = 1470 ÷ 3 = 490
(a)
Vincent's salary
= 5 u
= 5 x 490
= $2450
(b)
Elijah's salary
= 6 u
= 6 x 490
= $2940
Answer(s): (a) $2450; (b) $2940
