Shannon, Winnie, Gillian and Kathy received a sum of money. Shannon received
38 of the total amount of money Winnie, Gillian and Kathy received. Winnie received
15 of the total amount of money Gillian and Kathy received. Gillian received
13 as much money as Kathy. If Shannon received $52 more than Gillian, find the total sum of money the 4 girls received.
Shannon |
Winnie |
Gillian |
Kathy |
Total |
3x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
9 u |
4 u |
5 u |
15 u |
33 u |
The total amount that Gillian and Kathy have is repeated. Make the total amount that Gillian and Kathy have the same. LCM of 4 and 5 is 20.
The total amount that Winnie, Gillian and Kathy have is repeated. Make the total amount that Winnie, Gillian and Kathy have the same. LCM of 6 and 8 is 24.
Amount that Shannon had more than Gillian
= 9 u - 5 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u
= 33 u
= 33 x 13
= $429
Answer(s): $429