Sarah spent
18 of her salary on a stand mixer and
35 of the remainder on a lamp. If she saved the remaining $420, how much was her salary?
Fraction of the salary spent on the stand mixer =
18 Fraction of the salary on the remainder
= 1 -
18 =
78 Fraction of the remainder on savings
= 1 -
35 =
25
| Stand Mixer |
Remainder |
Total |
| 1x5 |
7x5 |
8x5 |
| |
Lamp |
Savings |
|
| |
3x7 |
2x7 |
|
| 5 u |
21 u |
14 u |
40 u |
The remainder and the total amount on the lamp and the savings are the same. Make the remainder and the total amount on the lamp and the savings the same. LCM of 7 and 5 is 35.
Total salary = 40 u
Amount spent of the stand mixer = 5 u
Amount spent on the lamp = 21 u
Amount of savings = 14 u
14 u = 420
1 u = 420 ÷ 14 = 30
Sarah's salary
= 40 u
= 40 x 30
= $1200
Answer(s): $1200
