Ken, Simon and Xavier shared a sum of money. Ken and Simon received 90% of the total amount of money. Simon and Xavier received 40% of the total amount of money. Given that Simon received $15 less than Ken, how much was the sum of money that was shared by Simon and Xavier?
| Ken |
Simon |
Xavier |
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 Ken, Simon and Xavier shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Simon received less than Ken
= 6 u - 3 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Amount that Simon and Xavier shared
= 3 u + 1 u
= 4 u
= 4 x 5
= $20
Answer(s): $20
