Archie, Rael and Valen shared a sum of money. Archie and Rael received 90% of the total amount of money. Rael and Valen received 25% of the total amount of money. Given that Rael received $36 less than Archie, how much was the sum of money that was shared by Rael and Valen?
| Archie |
Rael |
Valen |
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 Archie, Rael and Valen shared is repeated. Make the total amount of money the same. LCM of 10 and 4 is 20.
Amount that Rael received less than Archie
= 15 u - 3 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Amount that Rael and Valen shared
= 3 u + 2 u
= 5 u
= 5 x 3
= $15
Answer(s): $15
