Elyse, Shiyun, Tiffany and Victoria received a sum of money. Elyse received
58 of the total amount of money Shiyun, Tiffany and Victoria received. Shiyun received
15 of the total amount of money Tiffany and Victoria received. Tiffany received
13 as much money as Victoria. If Shiyun received $198 less than Elyse, find the total sum of money the 4 girls received.
Elyse |
Shiyun |
Tiffany |
Victoria |
Total |
5x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
15 u |
4 u |
5 u |
15 u |
39 u |
The total amount that Tiffany and Victoria have is repeated. Make the total amount that Tiffany and Victoria have the same. LCM of 4 and 5 is 20.
The total amount that Shiyun, Tiffany and Victoria have is repeated. Make the total amount that Shiyun, Tiffany and Victoria have the same. LCM of 6 and 8 is 24.
Amount that Shiyun had less than Elyse
= 15 u - 4 u
= 11 u
11 u = 198
1 u = 198 ÷ 11 = 18
Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u
= 39 u
= 39 x 18
= $702
Answer(s): $702