Last week, Diana had thrice as much savings as Sam. This week, Sam saves $500. As a result, he now has twice as much savings as Diana. What was their total savings at first?
| |
Diana |
Sam |
Total |
| Before |
3 u |
1 u |
4 u |
| Change |
|
+ $500 |
|
| After |
1x3 =
3 u |
2x3 =
6 u |
|
The amount of savings that Diana has at first and in the end remains unchanged. Make the amount of savings that Diana has the same. LCM of 3 and 1 is 3.
Amount that Sam saved
= 6 u - 1 u
= 5 u
5 u = 500
1 u = 500 ÷ 5 = 100
Total savings at first
= 3 u + 1 u
= 4 u
= 4 x 100
= $400
Answer(s): $400
