Sarah, Victoria, Shiyun and Yoko received a sum of money. Sarah received
25 of the total amount of money Victoria, Shiyun and Yoko received. Victoria received
14 of the total amount of money Shiyun and Yoko received. Shiyun received
12 as much money as Yoko. If Sarah received $28 more than Shiyun, find the total sum of money the 4 girls received.
Sarah |
Victoria |
Shiyun |
Yoko |
Total |
2x3 |
5x3 |
|
|
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
6 u |
3 u |
4 u |
8 u |
21 u |
The total amount that Shiyun and Yoko have is repeated. Make the total amount that Shiyun and Yoko have the same. LCM of 3 and 4 is 12.
The total amount that Victoria, Shiyun and Yoko have is repeated. Make the total amount that Victoria, Shiyun and Yoko have the same. LCM of 5 and 5 is 15.
Amount that Sarah had more than Shiyun
= 6 u - 4 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Total sum of money that 4 girls received
= 6 u + 3 u + 4 u + 8 u
= 21 u
= 21 x 14
= $294
Answer(s): $294