Zane, Seth and Riordan shared a sum of money. Zane and Seth received 90% of the total amount of money. Seth and Riordan received 25% of the total amount of money. Given that Zane received $260 more than Riordan, how much was the sum of money that was shared by Zane and Riordan?
| Zane |
Seth |
Riordan |
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 Zane, Seth and Riordan shared is repeated. Make the total amount of money the same. LCM of 10 and 4 is 20.
Amount that Zane received more than Riordan
= 15 u - 2 u
= 13 u
13 u = 260
1 u = 260 ÷ 13 = 20
Amount that Zane and Riordan shared
= 15 u + 2 u
= 17 u
= 17 x 20
= $340
Answer(s): $340
