Zane and Tim had $330 altogether. Tim gave
25 of his money to Zane. After that, Zane gave
35 of his money to Tim. In the end, Zane had
15 of the total sum of money. How much did Zane have at first?
| |
Tim |
Zane |
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
Tim and Zane
in the end |
4x2 =
8 u |
1x2 =
2 u |
$330 |
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 = 330
1 u = 330 ÷ 10 = 33
5 u = 5 x 33 = 165
3 p = 330 - 165 = 165
1 p = 165 ÷ 3 = 55
Amount that Tim had at first
= 5 p
= 5 x 55
= $275
Amount that Zane had at first
= 330 - 275
= $55
Answer(s): $55
