Billy and Zane had $828 altogether. Zane gave
25 of his money to Billy. After that, Billy gave
35 of his money to Zane. In the end, Billy had
16 of the total sum of money. How much did Billy have at first?
| |
Zane |
Billy |
Total |
| Before 1 |
5 p |
? |
$828 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$828 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$828 |
Comparing between
Zane and Billy
in the end |
5x2 =
10 u |
1x2 =
2 u |
$828 |
The amount that Billy had in the end is the repeated. Make the amount that Billy had in the end the same. LCM of 2 and 1 is 2.
12 u = 828
1 u = 828 ÷ 12 = 69
5 u = 5 x 69 = 345
3 p = 828 - 345 = 483
1 p = 483 ÷ 3 = 161
Amount that Zane had at first
= 5 p
= 5 x 161
= $805
Amount that Billy had at first
= 828 - 805
= $23
Answer(s): $23
