Zoe spent
17 of her salary on a gas stove and
34 of the remainder on a television set. If she saved the remaining $114, how much was her salary?
Fraction of the salary spent on the gas stove =
17 Fraction of the salary on the remainder
= 1 -
17 =
67 Fraction of the remainder on savings
= 1 -
34 =
14
Gas Stove |
Remainder |
Total |
1x2 |
6x2 |
7x2 |
|
Television Set |
Savings |
|
|
3x3 |
1x3 |
|
2 u |
9 u |
3 u |
14 u |
The remainder and the total amount on the television set and the savings are the same. Make the remainder and the total amount on the television set and the savings the same. LCM of 6 and 4 is 12.
Total salary = 14 u
Amount spent of the gas stove = 2 u
Amount spent on the television set = 9 u
Amount of savings = 3 u
3 u = 114
1 u = 114 ÷ 3 = 38
Zoe's salary
= 14 u
= 14 x 38
= $532
Answer(s): $532