Zane, Sean and Tom shared a sum of money. Zane and Sean received 90% of the total amount of money. Sean and Tom received 40% of the total amount of money. Given that Zane received $65 more than Tom, how much was the sum of money that was shared by Zane and Tom?
| Zane |
Sean |
Tom |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Zane, Sean and Tom shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Zane received more than Tom
= 6 u - 1 u
= 5 u
5 u = 65
1 u = 65 ÷ 5 = 13
Amount that Zane and Tom shared
= 6 u + 1 u
= 7 u
= 7 x 13
= $91
Answer(s): $91
