Michael and Zane had $540 altogether. Zane gave
25 of his money to Michael. After that, Michael gave
35 of his money to Zane. In the end, Michael had
16 of the total sum of money. How much did Michael have at first?
| |
Zane |
Michael |
Total |
| Before 1 |
5 p |
? |
$540 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$540 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$540 |
Comparing between
Zane and Michael
in the end |
5x2 =
10 u |
1x2 =
2 u |
$540 |
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.
12 u = 540
1 u = 540 ÷ 12 = 45
5 u = 5 x 45 = 225
3 p = 540 - 225 = 315
1 p = 315 ÷ 3 = 105
Amount that Zane had at first
= 5 p
= 5 x 105
= $525
Amount that Michael had at first
= 540 - 525
= $15
Answer(s): $15
