Yoko, Xylia, Elyse and Mary received a sum of money. Yoko received
58 of the total amount of money Xylia, Elyse and Mary received. Xylia received
15 of the total amount of money Elyse and Mary received. Elyse received
13 as much money as Mary. If Xylia received $198 less than Yoko, find the total sum of money the 4 girls received.
Yoko |
Xylia |
Elyse |
Mary |
Total |
5x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
15 u |
4 u |
5 u |
15 u |
39 u |
The total amount that Elyse and Mary have is repeated. Make the total amount that Elyse and Mary have the same. LCM of 4 and 5 is 20.
The total amount that Xylia, Elyse and Mary have is repeated. Make the total amount that Xylia, Elyse and Mary have the same. LCM of 6 and 8 is 24.
Amount that Xylia had less than Yoko
= 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