Rael and Warren had $270 altogether. Warren gave
25 of his money to Rael. After that, Rael gave
35 of his money to Warren. In the end, Rael had
15 of the total sum of money. How much did Rael have at first?
|
Warren |
Rael |
Total |
Before 1 |
5 p |
? |
$270 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$270 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$270 |
Comparing between Warren and Rael in the end |
4x2 = 8 u |
1x2 = 2 u |
$270 |
The amount that Rael had in the end is the repeated. Make the amount that Rael had in the end the same. LCM of 2 and 1 is 2.
10 u = 270
1 u = 270 ÷ 10 = 27
5 u = 5 x 27 = 135
3 p = 270 - 135 = 135
1 p = 135 ÷ 3 = 45
Amount that Warren had at first
= 5 p
= 5 x 45
= $225
Amount that Rael had at first
= 270 - 225
= $45
Answer(s): $45