Justin and Andy had $612 altogether. Andy gave
25 of his money to Justin. After that, Justin gave
35 of his money to Andy. In the end, Justin had
16 of the total sum of money. How much did Justin have at first?
|
Andy |
Justin |
Total |
Before 1 |
5 p |
? |
$612 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$612 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$612 |
Comparing between Andy and Justin in the end |
5x2 = 10 u |
1x2 = 2 u |
$612 |
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 = 612
1 u = 612 ÷ 12 = 51
5 u = 5 x 51 = 255
3 p = 612 - 255 = 357
1 p = 357 ÷ 3 = 119
Amount that Andy had at first
= 5 p
= 5 x 119
= $595
Amount that Justin had at first
= 612 - 595
= $17
Answer(s): $17