Archie's salary to Flynn's salary is 5 : 7. The former saves $1800 while the latter saves $2420. If Flynn's spending to Archie's spending is in the ratio of 8 : 5, what are Archie's and Flynn's salaries respectively?
- Archie
- Flynn
| Archie's salary |
Flynn's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $1800 |
5 p |
$2420 |
8 p |
1800 + 5 p = 5 u --- (1)
2420 + 8 p = 7 u --- (2)
Make p the same.
(1)
x 814400 +
40 p = 40 u
40 p = 40 u - 14400 --- (3)
(2)
x 512100 +
40 p = 35 u
40 p = 35 u - 12100 --- (4)
(3) = (4)
40 u - 14400 = 35 u - 12100
40 u - 35 u = 14400 - 12100
5 u = 2300
1 u = 2300 ÷ 5 = 460
(a)
Archie's salary
= 5 u
= 5 x 460
= $2300
(b)
Flynn's salary
= 7 u
= 7 x 460
= $3220
Answer(s): (a) $2300; (b) $3220
