Bryan, Zeph and Archie shared a sum of money. Bryan and Zeph received 90% of the total amount of money. Zeph and Archie received 25% of the total amount of money. Given that Bryan received $117 more than Archie, how much was the sum of money that was shared by Bryan and Archie?
| Bryan |
Zeph |
Archie |
Total |
| 9x2 |
1x2 |
10x2 |
| 3x5 |
1x5 |
4x5 |
| 15 u |
3 u |
2 u |
20 u |
90% =
90100 =
910 25% =
25100 =
14 The total amount of money that Bryan, Zeph and Archie shared is repeated. Make the total amount of money the same. LCM of 10 and 4 is 20.
Amount that Bryan received more than Archie
= 15 u - 2 u
= 13 u
13 u = 117
1 u = 117 ÷ 13 = 9
Amount that Bryan and Archie shared
= 15 u + 2 u
= 17 u
= 17 x 9
= $153
Answer(s): $153
