Ivan's salary to Zane's salary is 4 : 5. The former saves $1100 while the latter saves $1150. If Zane's spending to Ivan's spending is in the ratio of 5 : 3, what are Ivan's and Zane's salaries respectively?
- Ivan
- Zane
| Ivan's salary |
Zane's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1100 |
3 p |
$1150 |
5 p |
1100 + 3 p = 4 u --- (1)
1150 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 55500 +
15 p = 20 u
15 p = 20 u - 5500 --- (3)
(2)
x 33450 +
15 p = 15 u
15 p = 15 u - 3450 --- (4)
(3) = (4)
20 u - 5500 = 15 u - 3450
20 u - 15 u = 5500 - 3450
5 u = 2050
1 u = 2050 ÷ 5 = 410
(a)
Ivan's salary
= 4 u
= 4 x 410
= $1640
(b)
Zane's salary
= 5 u
= 5 x 410
= $2050
Answer(s): (a) $1640; (b) $2050
