Reggie's salary to Sean's salary is 5 : 6. The former saves $2060 while the latter saves $2360. If Sean's spending to Reggie's spending is in the ratio of 4 : 3, what are Reggie's and Sean's salaries respectively?
- Reggie
- Sean
| Reggie's salary |
Sean's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2060 |
3 p |
$2360 |
4 p |
2060 + 3 p = 5 u --- (1)
2360 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 48240 +
12 p = 20 u
12 p = 20 u - 8240 --- (3)
(2)
x 37080 +
12 p = 18 u
12 p = 18 u - 7080 --- (4)
(3) = (4)
20 u - 8240 = 18 u - 7080
20 u - 18 u = 8240 - 7080
2 u = 1160
1 u = 1160 ÷ 2 = 580
(a)
Reggie's salary
= 5 u
= 5 x 580
= $2900
(b)
Sean's salary
= 6 u
= 6 x 580
= $3480
Answer(s): (a) $2900; (b) $3480
