Howard and Jenson had $420 altogether. Jenson gave
25 of his money to Howard. After that, Howard gave
35 of his money to Jenson. In the end, Howard had
15 of the total sum of money. How much did Howard have at first?
| |
Jenson |
Howard |
Total |
| Before 1 |
5 p |
? |
$420 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$420 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$420 |
Comparing between
Jenson and Howard
in the end |
4x2 =
8 u |
1x2 =
2 u |
$420 |
The amount that Howard had in the end is the repeated. Make the amount that Howard had in the end the same. LCM of 2 and 1 is 2.
10 u = 420
1 u = 420 ÷ 10 = 42
5 u = 5 x 42 = 210
3 p = 420 - 210 = 210
1 p = 210 ÷ 3 = 70
Amount that Jenson had at first
= 5 p
= 5 x 70
= $350
Amount that Howard had at first
= 420 - 350
= $70
Answer(s): $70
