Zane, Wesley and Gabriel shared a sum of money. Zane and Wesley received 90% of the total amount of money. Wesley and Gabriel received 40% of the total amount of money. Given that Wesley received $45 less than Zane, how much was the sum of money that was shared by Wesley and Gabriel?
| Zane |
Wesley |
Gabriel |
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, Wesley and Gabriel shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Wesley received less than Zane
= 6 u - 3 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that Wesley and Gabriel shared
= 3 u + 1 u
= 4 u
= 4 x 15
= $60
Answer(s): $60
