Lucy spent
17 of her salary on a lamp and
25 of the remainder on a speaker. If she saved the remaining $378, how much was her salary?
Fraction of the salary spent on the lamp =
17 Fraction of the salary on the remainder
= 1 -
17 =
67 Fraction of the remainder on savings
= 1 -
25 =
35
| Lamp |
Remainder |
Total |
| 1x5 |
6x5 |
7x5 |
| |
Speaker |
Savings |
|
| |
2x6 |
3x6 |
|
| 5 u |
12 u |
18 u |
35 u |
The remainder and the total amount on the speaker and the savings are the same. Make the remainder and the total amount on the speaker and the savings the same. LCM of 6 and 5 is 30.
Total salary = 35 u
Amount spent of the lamp = 5 u
Amount spent on the speaker = 12 u
Amount of savings = 18 u
18 u = 378
1 u = 378 ÷ 18 = 21
Lucy's salary
= 35 u
= 35 x 21
= $735
Answer(s): $735
