Japheth's salary to Xavier's salary is 3 : 4. The former saves $960 while the latter saves $1160. If Xavier's spending to Japheth's spending is in the ratio of 5 : 3, what are Japheth's and Xavier's salaries respectively?
- Japheth
- Xavier
| Japheth's salary |
Xavier's salary |
| 3 u |
4 u |
| Savings |
Spending |
Savings |
Spending |
| $960 |
3 p |
$1160 |
5 p |
960 + 3 p = 3 u --- (1)
1160 + 5 p = 4 u --- (2)
Make p the same.
(1)
x 54800 +
15 p = 15 u
15 p = 15 u - 4800 --- (3)
(2)
x 33480 +
15 p = 12 u
15 p = 12 u - 3480 --- (4)
(3) = (4)
15 u - 4800 = 12 u - 3480
15 u - 12 u = 4800 - 3480
3 u = 1320
1 u = 1320 ÷ 3 = 440
(a)
Japheth's salary
= 3 u
= 3 x 440
= $1320
(b)
Xavier's salary
= 4 u
= 4 x 440
= $1760
Answer(s): (a) $1320; (b) $1760
