Reggie's salary to Archie's salary is 5 : 6. The former saves $2370 while the latter saves $2670. If Archie's spending to Reggie's spending is in the ratio of 3 : 2, what are Reggie's and Archie's salaries respectively?
- Reggie
- Archie
| Reggie's salary |
Archie's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2370 |
2 p |
$2670 |
3 p |
2370 + 2 p = 5 u --- (1)
2670 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 37110 +
6 p = 15 u
6 p = 15 u - 7110 --- (3)
(2)
x 25340 +
6 p = 12 u
6 p = 12 u - 5340 --- (4)
(3) = (4)
15 u - 7110 = 12 u - 5340
15 u - 12 u = 7110 - 5340
3 u = 1770
1 u = 1770 ÷ 3 = 590
(a)
Reggie's salary
= 5 u
= 5 x 590
= $2950
(b)
Archie's salary
= 6 u
= 6 x 590
= $3540
Answer(s): (a) $2950; (b) $3540
