Zeph and Flynn had $792 altogether. Flynn gave
25 of his money to Zeph. After that, Zeph gave
35 of his money to Flynn. In the end, Zeph had
16 of the total sum of money. How much did Zeph have at first?
| |
Flynn |
Zeph |
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
Flynn and Zeph
in the end |
5x2 =
10 u |
1x2 =
2 u |
$792 |
The amount that Zeph had in the end is the repeated. Make the amount that Zeph 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 Flynn had at first
= 5 p
= 5 x 154
= $770
Amount that Zeph had at first
= 792 - 770
= $22
Answer(s): $22
