Will's salary to Flynn's salary is 4 : 5. The former saves $1720 while the latter saves $2000. If Flynn's spending to Will's spending is in the ratio of 5 : 3, what are Will's and Flynn's salaries respectively?
- Will
- Flynn
| Will's salary |
Flynn's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1720 |
3 p |
$2000 |
5 p |
1720 + 3 p = 4 u --- (1)
2000 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 58600 +
15 p = 20 u
15 p = 20 u - 8600 --- (3)
(2)
x 36000 +
15 p = 15 u
15 p = 15 u - 6000 --- (4)
(3) = (4)
20 u - 8600 = 15 u - 6000
20 u - 15 u = 8600 - 6000
5 u = 2600
1 u = 2600 ÷ 5 = 520
(a)
Will's salary
= 4 u
= 4 x 520
= $2080
(b)
Flynn's salary
= 5 u
= 5 x 520
= $2600
Answer(s): (a) $2080; (b) $2600
