Dylan's salary to Archie's salary is 5 : 6. The former saves $2440 while the latter saves $2760. If Archie's spending to Dylan's spending is in the ratio of 5 : 3, what are Dylan's and Archie's salaries respectively?
- Dylan
- Archie
| Dylan's salary |
Archie's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2440 |
3 p |
$2760 |
5 p |
2440 + 3 p = 5 u --- (1)
2760 + 5 p = 6 u --- (2)
Make p the same.
(1)
x 512200 +
15 p = 25 u
15 p = 25 u - 12200 --- (3)
(2)
x 38280 +
15 p = 18 u
15 p = 18 u - 8280 --- (4)
(3) = (4)
25 u - 12200 = 18 u - 8280
25 u - 18 u = 12200 - 8280
7 u = 3920
1 u = 3920 ÷ 7 = 560
(a)
Dylan's salary
= 5 u
= 5 x 560
= $2800
(b)
Archie's salary
= 6 u
= 6 x 560
= $3360
Answer(s): (a) $2800; (b) $3360
