Harry's salary to Brandon's salary is 5 : 6. The former saves $2120 while the latter saves $2500. If Brandon's spending to Harry's spending is in the ratio of 4 : 3, what are Harry's and Brandon's salaries respectively?
- Harry
- Brandon
| Harry's salary |
Brandon's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2120 |
3 p |
$2500 |
4 p |
2120 + 3 p = 5 u --- (1)
2500 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 48480 +
12 p = 20 u
12 p = 20 u - 8480 --- (3)
(2)
x 37500 +
12 p = 18 u
12 p = 18 u - 7500 --- (4)
(3) = (4)
20 u - 8480 = 18 u - 7500
20 u - 18 u = 8480 - 7500
2 u = 980
1 u = 980 ÷ 2 = 490
(a)
Harry's salary
= 5 u
= 5 x 490
= $2450
(b)
Brandon's salary
= 6 u
= 6 x 490
= $2940
Answer(s): (a) $2450; (b) $2940
