Zane's salary to Vaidev's salary is 5 : 6. The former saves $1580 while the latter saves $1780. If Vaidev's spending to Zane's spending is in the ratio of 4 : 3, what are Zane's and Vaidev's salaries respectively?
- Zane
- Vaidev
| Zane's salary |
Vaidev's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1580 |
3 p |
$1780 |
4 p |
1580 + 3 p = 5 u --- (1)
1780 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 46320 +
12 p = 20 u
12 p = 20 u - 6320 --- (3)
(2)
x 35340 +
12 p = 18 u
12 p = 18 u - 5340 --- (4)
(3) = (4)
20 u - 6320 = 18 u - 5340
20 u - 18 u = 6320 - 5340
2 u = 980
1 u = 980 ÷ 2 = 490
(a)
Zane's salary
= 5 u
= 5 x 490
= $2450
(b)
Vaidev's salary
= 6 u
= 6 x 490
= $2940
Answer(s): (a) $2450; (b) $2940
