Reggie, Ethan, Howard and Mark shared $448. Mark received
35 of the total amount of money received by Reggie, Ethan and Howard. Reggie received
13 of the total amount for Ethan and Howard. Ethan received
23 as much money as Howard. If Howard gave all his money to Mark, how much did Mark have more than Ethan in the end?
Reggie |
Ethan |
Howard |
Mark |
Total |
5x4 |
3x4 |
8x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
12 u |
32 u |
The total amount that Ethan and Howard have is repeated. Make the total amount of Ethan and Howard the same. LCM of 5 and 3 is 15.
The total amount that Reggie, Ethan and Howard have is repeated. Make the total amount of Reggie, Ethan and Howard the same. LCM of 20 and 5 is 20.
Total amount that Reggie, Ethan, Howard and Mark shared = 32 u
32 u = 448
1 u = 448 ÷ 32 = 14
|
Reggie |
Ethan |
Howard |
Mark |
Before |
5 u |
6 u |
9 u |
12 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
21 u |
Amount that Mark had if Howard gave him all his money
= 12 u + 9 u
= 21 u
Amount that Mark had more than Ethan
= 21 u - 6 u
= 15 u
= 15 x 14
= $210
Answer(s): $210