Simon's salary to Rael's salary is 4 : 5. The former saves $1160 while the latter saves $1300. If Rael's spending to Simon's spending is in the ratio of 7 : 5, what are Simon's and Rael's salaries respectively?
- Simon
- Rael
| Simon's salary |
Rael's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1160 |
5 p |
$1300 |
7 p |
1160 + 5 p = 4 u --- (1)
1300 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 78120 +
35 p = 28 u
35 p = 28 u - 8120 --- (3)
(2)
x 56500 +
35 p = 25 u
35 p = 25 u - 6500 --- (4)
(3) = (4)
28 u - 8120 = 25 u - 6500
28 u - 25 u = 8120 - 6500
3 u = 1620
1 u = 1620 ÷ 3 = 540
(a)
Simon's salary
= 4 u
= 4 x 540
= $2160
(b)
Rael's salary
= 5 u
= 5 x 540
= $2700
Answer(s): (a) $2160; (b) $2700
