Emma, Risa, Yoko and Jane received a sum of money. Emma received
58 of the total amount of money Risa, Yoko and Jane received. Risa received
15 of the total amount of money Yoko and Jane received. Yoko received
13 as much money as Jane. If Risa received $110 less than Emma, find the total sum of money the 4 girls received.
Emma |
Risa |
Yoko |
Jane |
Total |
5x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
15 u |
4 u |
5 u |
15 u |
39 u |
The total amount that Yoko and Jane have is repeated. Make the total amount that Yoko and Jane have the same. LCM of 4 and 5 is 20.
The total amount that Risa, Yoko and Jane have is repeated. Make the total amount that Risa, Yoko and Jane have the same. LCM of 6 and 8 is 24.
Amount that Risa had less than Emma
= 15 u - 4 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Total sum of money that 4 girls received
= 15 u + 4 u + 5 u + 15 u
= 39 u
= 39 x 10
= $390
Answer(s): $390