Yen spent
18 of her salary on a lamp and
23 of the remainder on a stand mixer. If she saved the remaining $280, how much was her salary?
Fraction of the salary spent on the lamp =
18 Fraction of the salary on the remainder
= 1 -
18 =
78 Fraction of the remainder on savings
= 1 -
23 =
13
| Lamp |
Remainder |
Total |
| 1x3 |
7x3 |
8x3 |
| |
Stand Mixer |
Savings |
|
| |
2x7 |
1x7 |
|
| 3 u |
14 u |
7 u |
24 u |
The remainder and the total amount on the stand mixer and the savings are the same. Make the remainder and the total amount on the stand mixer and the savings the same. LCM of 7 and 3 is 21.
Total salary = 24 u
Amount spent of the lamp = 3 u
Amount spent on the stand mixer = 14 u
Amount of savings = 7 u
7 u = 280
1 u = 280 ÷ 7 = 40
Yen's salary
= 24 u
= 24 x 40
= $960
Answer(s): $960
