Archie, Zeph and Oscar shared a sum of money. Archie and Zeph received 75% of the total amount of money. Zeph and Oscar received 40% of the total amount of money. Given that Archie received $49 more than Oscar, how much was the sum of money that was shared by Archie and Oscar?
Archie |
Zeph |
Oscar |
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 Archie, Zeph and Oscar shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Archie received more than Oscar
= 12 u - 5 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Amount that Archie and Oscar shared
= 12 u + 5 u
= 17 u
= 17 x 7
= $119
Answer(s): $119