Flynn's salary to Tim's salary is 4 : 5. The former saves $620 while the latter saves $610. If Tim's spending to Flynn's spending is in the ratio of 7 : 5, what are Flynn's and Tim's salaries respectively?
- Flynn
- Tim
| Flynn's salary |
Tim's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $620 |
5 p |
$610 |
7 p |
620 + 5 p = 4 u --- (1)
610 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 74340 +
35 p = 28 u
35 p = 28 u - 4340 --- (3)
(2)
x 53050 +
35 p = 25 u
35 p = 25 u - 3050 --- (4)
(3) = (4)
28 u - 4340 = 25 u - 3050
28 u - 25 u = 4340 - 3050
3 u = 1290
1 u = 1290 ÷ 3 = 430
(a)
Flynn's salary
= 4 u
= 4 x 430
= $1720
(b)
Tim's salary
= 5 u
= 5 x 430
= $2150
Answer(s): (a) $1720; (b) $2150
