Olivia, Risa, Fanny and Min received a sum of money. Olivia received
38 of the total amount of money Risa, Fanny and Min received. Risa received
15 of the total amount of money Fanny and Min received. Fanny received
13 as much money as Min. If Olivia received $64 more than Fanny, find the total sum of money the 4 girls received.
Olivia |
Risa |
Fanny |
Min |
Total |
3x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
9 u |
4 u |
5 u |
15 u |
33 u |
The total amount that Fanny and Min have is repeated. Make the total amount that Fanny and Min have the same. LCM of 4 and 5 is 20.
The total amount that Risa, Fanny and Min have is repeated. Make the total amount that Risa, Fanny and Min have the same. LCM of 6 and 8 is 24.
Amount that Olivia had more than Fanny
= 9 u - 5 u
= 4 u
4 u = 64
1 u = 64 ÷ 4 = 16
Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u
= 33 u
= 33 x 16
= $528
Answer(s): $528