Rael's salary to Tim's salary is 5 : 6. The former saves $1400 while the latter saves $1300. If Tim's spending to Rael's spending is in the ratio of 8 : 5, what are Rael's and Tim's salaries respectively?
- Rael
- Tim
| Rael's salary |
Tim's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1400 |
5 p |
$1300 |
8 p |
1400 + 5 p = 5 u --- (1)
1300 + 8 p = 6 u --- (2)
Make p the same.
(1)
x 811200 +
40 p = 40 u
40 p = 40 u - 11200 --- (3)
(2)
x 56500 +
40 p = 30 u
40 p = 30 u - 6500 --- (4)
(3) = (4)
40 u - 11200 = 30 u - 6500
40 u - 30 u = 11200 - 6500
10 u = 4700
1 u = 4700 ÷ 10 = 470
(a)
Rael's salary
= 5 u
= 5 x 470
= $2350
(b)
Tim's salary
= 6 u
= 6 x 470
= $2820
Answer(s): (a) $2350; (b) $2820
