Daniel, Elijah and Tommy shared a sum of money. Daniel and Elijah received 75% of the total amount of money. Elijah and Tommy received 40% of the total amount of money. Given that Elijah received $162 less than Daniel, how much was the sum of money that was shared by Elijah and Tommy?
| Daniel |
Elijah |
Tommy |
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 Daniel, Elijah and Tommy shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Elijah received less than Daniel
= 12 u - 3 u
= 9 u
9 u = 162
1 u = 162 ÷ 9 = 18
Amount that Elijah and Tommy shared
= 3 u + 5 u
= 8 u
= 8 x 18
= $144
Answer(s): $144
