Glen, Howard and Daniel shared a sum of money. Glen and Howard received 90% of the total amount of money. Howard and Daniel received 40% of the total amount of money. Given that Howard received $45 less than Glen, how much was the sum of money that was shared by Howard and Daniel?
| Glen |
Howard |
Daniel |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Glen, Howard and Daniel shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Howard received less than Glen
= 6 u - 3 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that Howard and Daniel shared
= 3 u + 1 u
= 4 u
= 4 x 15
= $60
Answer(s): $60
