Archie, Mark and Tom shared a sum of money. Archie and Mark received 75% of the total amount of money. Mark and Tom received 40% of the total amount of money. Given that Mark received $108 less than Archie, how much was the sum of money that was shared by Mark and Tom?
| Archie |
Mark |
Tom |
Total |
| 3x5 |
1x5 |
4x5 |
| 3x4 |
2x4 |
5x4 |
| 12 u |
3 u |
5 u |
20 u |
75% =
75100 =
34 40% =
40100 =
25 The total amount of money that Archie, Mark and Tom shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Mark received less than Archie
= 12 u - 3 u
= 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Amount that Mark and Tom shared
= 3 u + 5 u
= 8 u
= 8 x 12
= $96
Answer(s): $96
