Shiyun, Gabby, Linda and Diana received a sum of money. Shiyun received
38 of the total amount of money Gabby, Linda and Diana received. Gabby received
15 of the total amount of money Linda and Diana received. Linda received
13 as much money as Diana. If Gabby received $70 less than Shiyun, find the total sum of money the 4 girls received.
Shiyun |
Gabby |
Linda |
Diana |
Total |
3x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
9 u |
4 u |
5 u |
15 u |
33 u |
The total amount that Linda and Diana have is repeated. Make the total amount that Linda and Diana have the same. LCM of 4 and 5 is 20.
The total amount that Gabby, Linda and Diana have is repeated. Make the total amount that Gabby, Linda and Diana have the same. LCM of 6 and 8 is 24.
Amount that Gabby had less than Shiyun
= 9 u - 4 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u
= 33 u
= 33 x 14
= $462
Answer(s): $462