Michael and Tim had $570 altogether. Tim gave
25 of his money to Michael. After that, Michael gave
35 of his money to Tim. In the end, Michael had
15 of the total sum of money. How much did Michael have at first?
| |
Tim |
Michael |
Total |
| Before 1 |
5 p |
? |
$570 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$570 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$570 |
Comparing between
Tim and Michael
in the end |
4x2 =
8 u |
1x2 =
2 u |
$570 |
The amount that Michael had in the end is the repeated. Make the amount that Michael had in the end the same. LCM of 2 and 1 is 2.
10 u = 570
1 u = 570 ÷ 10 = 57
5 u = 5 x 57 = 285
3 p = 570 - 285 = 285
1 p = 285 ÷ 3 = 95
Amount that Tim had at first
= 5 p
= 5 x 95
= $475
Amount that Michael had at first
= 570 - 475
= $95
Answer(s): $95
