Justin and Owen had $180 altogether. Owen gave
25 of his money to Justin. After that, Justin gave
35 of his money to Owen. In the end, Justin had
16 of the total sum of money. How much did Justin have at first?
| |
Owen |
Justin |
Total |
| Before 1 |
5 p |
? |
$180 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$180 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$180 |
Comparing between
Owen and Justin
in the end |
5x2 =
10 u |
1x2 =
2 u |
$180 |
The amount that Justin had in the end is the repeated. Make the amount that Justin had in the end the same. LCM of 2 and 1 is 2.
12 u = 180
1 u = 180 ÷ 12 = 15
5 u = 5 x 15 = 75
3 p = 180 - 75 = 105
1 p = 105 ÷ 3 = 35
Amount that Owen had at first
= 5 p
= 5 x 35
= $175
Amount that Justin had at first
= 180 - 175
= $5
Answer(s): $5
