Justin's salary to Reggie's salary is 5 : 6. The former saves $1750 while the latter saves $2010. If Reggie's spending to Justin's spending is in the ratio of 3 : 2, what are Justin's and Reggie's salaries respectively?
- Justin
- Reggie
| Justin's salary |
Reggie's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1750 |
2 p |
$2010 |
3 p |
1750 + 2 p = 5 u --- (1)
2010 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 35250 +
6 p = 15 u
6 p = 15 u - 5250 --- (3)
(2)
x 24020 +
6 p = 12 u
6 p = 12 u - 4020 --- (4)
(3) = (4)
15 u - 5250 = 12 u - 4020
15 u - 12 u = 5250 - 4020
3 u = 1230
1 u = 1230 ÷ 3 = 410
(a)
Justin's salary
= 5 u
= 5 x 410
= $2050
(b)
Reggie's salary
= 6 u
= 6 x 410
= $2460
Answer(s): (a) $2050; (b) $2460
