Diana spent
25 of her salary on a toaster oven and
35 of the remainder on a stand mixer. If she saved the remaining $156, how much was her salary?
Fraction of the salary spent on the toaster oven =
25 Fraction of the salary on the remainder
= 1 -
25 =
35 Fraction of the remainder on savings
= 1 -
35 =
25
Toaster Oven |
Remainder |
Total |
2x5 |
3x5 |
5x5 |
|
Stand Mixer |
Savings |
|
|
3x3 |
2x3 |
|
10 u |
9 u |
6 u |
25 u |
The remainder and the total amount on the stand mixer and the savings are the same. Make the remainder and the total amount on the stand mixer and the savings the same. LCM of 3 and 5 is 15.
Total salary = 25 u
Amount spent of the toaster oven = 10 u
Amount spent on the stand mixer = 9 u
Amount of savings = 6 u
6 u = 156
1 u = 156 ÷ 6 = 26
Diana's salary
= 25 u
= 25 x 26
= $650
Answer(s): $650