Dana spent
25 of her salary on a television set and
34 of the remainder on a speaker. If she saved the remaining $111, how much was her salary?
Fraction of the salary spent on the television set =
25 Fraction of the salary on the remainder
= 1 -
25 =
35 Fraction of the remainder on savings
= 1 -
34 =
14
Television Set |
Remainder |
Total |
2x4 |
3x4 |
5x4 |
|
Speaker |
Savings |
|
|
3x3 |
1x3 |
|
8 u |
9 u |
3 u |
20 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 3 and 4 is 12.
Total salary = 20 u
Amount spent of the television set = 8 u
Amount spent on the speaker = 9 u
Amount of savings = 3 u
3 u = 111
1 u = 111 ÷ 3 = 37
Dana's salary
= 20 u
= 20 x 37
= $740
Answer(s): $740