Sarah and Tom had the same amount of savings at first. Then Sarah spent
14 of her savings and Tom spent
45 of his savings. If Sarah spent $704 less than Tom, how much did each of them have at first?
|
Sarah |
Tom |
Before |
4x5 = 20 u |
5x4 = 20 u |
Change |
1x5 = - 5 u |
4x4 = - 16 u |
After |
15 u |
4 u |
The amount that Sarah and Tom had at first is the same. Make the amount that Sarah and Tom each had the same. LCM of 4 and 5 is 20.
Amount that Sarah spent less than Tom
= 16 u - 5 u
= 11 u
11 u = 704
1 u = 704 ÷ 11 = 64
Amount that each of them had at first
= 20 u
= 20 x 64
= $1280
Answer(s): $1280