Howard and Glen had $360 altogether. Glen gave
25 of his money to Howard. After that, Howard gave
35 of his money to Glen. In the end, Howard had
16 of the total sum of money. How much did Howard have at first?
| |
Glen |
Howard |
Total |
| Before 1 |
5 p |
? |
$360 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$360 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$360 |
Comparing between
Glen and Howard
in the end |
5x2 =
10 u |
1x2 =
2 u |
$360 |
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.
12 u = 360
1 u = 360 ÷ 12 = 30
5 u = 5 x 30 = 150
3 p = 360 - 150 = 210
1 p = 210 ÷ 3 = 70
Amount that Glen had at first
= 5 p
= 5 x 70
= $350
Amount that Howard had at first
= 360 - 350
= $10
Answer(s): $10
