Michael, Japheth and Archie shared a sum of money. Michael and Japheth received 80% of the total amount of money. Japheth and Archie received 50% of the total amount of money. Given that Michael received $51 more than Archie, how much was the sum of money that was shared by Michael and Archie?
| Michael |
Japheth |
Archie |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Michael, Japheth and Archie shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Michael received more than Archie
= 5 u - 2 u
= 3 u
3 u = 51
1 u = 51 ÷ 3 = 17
Amount that Michael and Archie shared
= 5 u + 2 u
= 7 u
= 7 x 17
= $119
Answer(s): $119
