Will and Warren had $330 altogether. Warren gave
25 of his money to Will. After that, Will gave
35 of his money to Warren. In the end, Will had
15 of the total sum of money. How much did Will have at first?
|
Warren |
Will |
Total |
Before 1 |
5 p |
? |
$330 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$330 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$330 |
Comparing between Warren and Will in the end |
4x2 = 8 u |
1x2 = 2 u |
$330 |
The amount that Will had in the end is the repeated. Make the amount that Will had in the end the same. LCM of 2 and 1 is 2.
10 u = 330
1 u = 330 ÷ 10 = 33
5 u = 5 x 33 = 165
3 p = 330 - 165 = 165
1 p = 165 ÷ 3 = 55
Amount that Warren had at first
= 5 p
= 5 x 55
= $275
Amount that Will had at first
= 330 - 275
= $55
Answer(s): $55