Nick's salary to Reggie's salary is 3 : 4. The former saves $1150 while the latter saves $1360. If Reggie's spending to Nick's spending is in the ratio of 8 : 5, what are Nick's and Reggie's salaries respectively?
- Nick
- Reggie
| Nick's salary |
Reggie's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $1150 |
5 p |
$1360 |
8 p |
1150 + 5 p = 3 u --- (1)
1360 + 8 p = 4 u --- (2)
Make p the same.
(1)
x 89200 +
40 p = 24 u
40 p = 24 u - 9200 --- (3)
(2)
x 56800 +
40 p = 20 u
40 p = 20 u - 6800 --- (4)
(3) = (4)
24 u - 9200 = 20 u - 6800
24 u - 20 u = 9200 - 6800
4 u = 2400
1 u = 2400 ÷ 4 = 600
(a)
Nick's salary
= 3 u
= 3 x 600
= $1800
(b)
Reggie's salary
= 4 u
= 4 x 600
= $2400
Answer(s): (a) $1800; (b) $2400
