Ryan and George had $792 altogether. George gave
25 of his money to Ryan. After that, Ryan gave
35 of his money to George. In the end, Ryan had
16 of the total sum of money. How much did Ryan have at first?
| |
George |
Ryan |
Total |
| Before 1 |
5 p |
? |
$792 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$792 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$792 |
Comparing between
George and Ryan
in the end |
5x2 =
10 u |
1x2 =
2 u |
$792 |
The amount that Ryan had in the end is the repeated. Make the amount that Ryan had in the end the same. LCM of 2 and 1 is 2.
12 u = 792
1 u = 792 ÷ 12 = 66
5 u = 5 x 66 = 330
3 p = 792 - 330 = 462
1 p = 462 ÷ 3 = 154
Amount that George had at first
= 5 p
= 5 x 154
= $770
Amount that Ryan had at first
= 792 - 770
= $22
Answer(s): $22
