Zane and Mark had $120 altogether. Mark gave
25 of his money to Zane. After that, Zane gave
35 of his money to Mark. In the end, Zane had
15 of the total sum of money. How much did Zane have at first?
| |
Mark |
Zane |
Total |
| Before 1 |
5 p |
? |
$120 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$120 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$120 |
Comparing between
Mark and Zane
in the end |
4x2 =
8 u |
1x2 =
2 u |
$120 |
The amount that Zane had in the end is the repeated. Make the amount that Zane had in the end the same. LCM of 2 and 1 is 2.
10 u = 120
1 u = 120 ÷ 10 = 12
5 u = 5 x 12 = 60
3 p = 120 - 60 = 60
1 p = 60 ÷ 3 = 20
Amount that Mark had at first
= 5 p
= 5 x 20
= $100
Amount that Zane had at first
= 120 - 100
= $20
Answer(s): $20
