Caden's salary to Japheth's salary is 5 : 6. The former saves $1350 while the latter saves $1390. If Japheth's spending to Caden's spending is in the ratio of 7 : 5, what are Caden's and Japheth's salaries respectively?
- Caden
- Japheth
| Caden's salary |
Japheth's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1350 |
5 p |
$1390 |
7 p |
1350 + 5 p = 5 u --- (1)
1390 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 79450 +
35 p = 35 u
35 p = 35 u - 9450 --- (3)
(2)
x 56950 +
35 p = 30 u
35 p = 30 u - 6950 --- (4)
(3) = (4)
35 u - 9450 = 30 u - 6950
35 u - 30 u = 9450 - 6950
5 u = 2500
1 u = 2500 ÷ 5 = 500
(a)
Caden's salary
= 5 u
= 5 x 500
= $2500
(b)
Japheth's salary
= 6 u
= 6 x 500
= $3000
Answer(s): (a) $2500; (b) $3000
