Henry, Tim and John shared a sum of money. Henry and Tim received 75% of the total amount of money. Tim and John received 40% of the total amount of money. Given that Tim received $90 less than Henry, how much was the sum of money that was shared by Tim and John?
| Henry |
Tim |
John |
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 Henry, Tim and John shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Tim received less than Henry
= 12 u - 3 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Amount that Tim and John shared
= 3 u + 5 u
= 8 u
= 8 x 10
= $80
Answer(s): $80
