Elijah's salary to Tim's salary is 5 : 6. The former saves $1710 while the latter saves $1890. If Tim's spending to Elijah's spending is in the ratio of 3 : 2, what are Elijah's and Tim's salaries respectively?
- Elijah
- Tim
| Elijah's salary |
Tim's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1710 |
2 p |
$1890 |
3 p |
1710 + 2 p = 5 u --- (1)
1890 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 35130 +
6 p = 15 u
6 p = 15 u - 5130 --- (3)
(2)
x 23780 +
6 p = 12 u
6 p = 12 u - 3780 --- (4)
(3) = (4)
15 u - 5130 = 12 u - 3780
15 u - 12 u = 5130 - 3780
3 u = 1350
1 u = 1350 ÷ 3 = 450
(a)
Elijah's salary
= 5 u
= 5 x 450
= $2250
(b)
Tim's salary
= 6 u
= 6 x 450
= $2700
Answer(s): (a) $2250; (b) $2700
