Sam, Bryan and Japheth shared a sum of money. Sam and Bryan received 75% of the total amount of money. Bryan and Japheth received 40% of the total amount of money. Given that Bryan received $144 less than Sam, how much was the sum of money that was shared by Bryan and Japheth?
| Sam |
Bryan |
Japheth |
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 Sam, Bryan and Japheth shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Bryan received less than Sam
= 12 u - 3 u
= 9 u
9 u = 144
1 u = 144 ÷ 9 = 16
Amount that Bryan and Japheth shared
= 3 u + 5 u
= 8 u
= 8 x 16
= $128
Answer(s): $128
