Linda spent
23 of her salary on a speaker and
35 of the remainder on a food processor. If she saved the remaining $66, how much was her salary?
Fraction of the salary spent on the speaker =
23 Fraction of the salary on the remainder
= 1 -
23 =
13 Fraction of the remainder on savings
= 1 -
35 =
25
Speaker |
Remainder |
Total |
2x5 |
1x5 |
3x5 |
|
Food Processor |
Savings |
|
|
3x1 |
2x1 |
|
10 u |
3 u |
2 u |
15 u |
The remainder and the total amount on the food processor and the savings are the same. Make the remainder and the total amount on the food processor and the savings the same. LCM of 1 and 5 is 5.
Total salary = 15 u
Amount spent of the speaker = 10 u
Amount spent on the food processor = 3 u
Amount of savings = 2 u
2 u = 66
1 u = 66 ÷ 2 = 33
Linda's salary
= 15 u
= 15 x 33
= $495
Answer(s): $495