Cindy, Erika, Jean and Yen received a sum of money. Cindy received
38 of the total amount of money Erika, Jean and Yen received. Erika received
15 of the total amount of money Jean and Yen received. Jean received
13 as much money as Yen. If Erika received $90 less than Cindy, find the total sum of money the 4 girls received.
Cindy |
Erika |
Jean |
Yen |
Total |
3x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
9 u |
4 u |
5 u |
15 u |
33 u |
The total amount that Jean and Yen have is repeated. Make the total amount that Jean and Yen have the same. LCM of 4 and 5 is 20.
The total amount that Erika, Jean and Yen have is repeated. Make the total amount that Erika, Jean and Yen have the same. LCM of 6 and 8 is 24.
Amount that Erika had less than Cindy
= 9 u - 4 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u
= 33 u
= 33 x 18
= $594
Answer(s): $594