Oliver, Neave, Tom and Jack shared $560. Jack received
16 of the total amount of money received by Oliver, Neave and Tom. Oliver received
35 of the total amount for Neave and Tom. Neave received
12 as much money as Tom. If Tom gave all his money to Jack, how much did Jack have more than Neave in the end?
Oliver |
Neave |
Tom |
Jack |
Total |
6x4 |
1x4 |
7x4 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
4 u |
28 u |
The total amount that Neave and Tom have is repeated. Make the total amount of Neave and Tom the same. LCM of 3 and 5 is 15.
The total amount that Oliver, Neave and Tom have is repeated. Make the total amount of Oliver, Neave and Tom the same. LCM of 24 and 6 is 24.
Total amount that Oliver, Neave, Tom and Jack shared = 28 u
28 u = 560
1 u = 560 ÷ 28 = 20
|
Oliver |
Neave |
Tom |
Jack |
Before |
9 u |
5 u |
10 u |
4 u |
Change |
|
|
- 10 u |
+ 10 u |
After |
9 u |
5 u |
0 u |
14 u |
Amount that Jack had if Tom gave him all his money
= 4 u + 10 u
= 14 u
Amount that Jack had more than Neave
= 14 u - 5 u
= 9 u
= 9 x 20
= $180
Answer(s): $180