Tom's salary to Pierre's salary is 4 : 5. The former saves $1320 while the latter saves $1530. If Pierre's spending to Tom's spending is in the ratio of 3 : 2, what are Tom's and Pierre's salaries respectively?
- Tom
- Pierre
| Tom's salary |
Pierre's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1320 |
2 p |
$1530 |
3 p |
1320 + 2 p = 4 u --- (1)
1530 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 33960 +
6 p = 12 u
6 p = 12 u - 3960 --- (3)
(2)
x 23060 +
6 p = 10 u
6 p = 10 u - 3060 --- (4)
(3) = (4)
12 u - 3960 = 10 u - 3060
12 u - 10 u = 3960 - 3060
2 u = 900
1 u = 900 ÷ 2 = 450
(a)
Tom's salary
= 4 u
= 4 x 450
= $1800
(b)
Pierre's salary
= 5 u
= 5 x 450
= $2250
Answer(s): (a) $1800; (b) $2250
