If Justin gives Diana $4, he will have the same amount of money as her. If Diana gives Justin $4, Justin will have five times as much money as her. How much money does Diana have?
| |
Scenario 1 |
Scenario 2 |
| |
Justin |
Diana |
Total |
Justin |
Diana |
Total |
| Before |
3 u + 4 |
3 u - 4 |
|
1 u - 4 |
5 u + 4 |
|
| Change |
- 4 |
+ 4 |
|
+ 4 |
- 4 |
|
| After |
1x3 =
3 u |
1x3 =
3 u |
2x3 =
6 u |
1x1 =
1 u |
5x1 =
5 u |
6x1 =
6 u |
The total amount in both scenarios is the same. LCM of 2 and 6 is 6.
In both scenarios, Justin had the same amount at first.
3 u + 4 = 1 u - 4
3 u - 1 u = 4 + 4
2 u = 8
1 u = 8 ÷ 2 = 4
Amount that Diana has
= 3 u - 4
= 3 x 4 - 4
= $8
Answer(s): $8
