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