Jean, Hazel, Cindy and Sabrina received a sum of money. Jean received
25 of the total amount of money Hazel, Cindy and Sabrina received. Hazel received
12 of the total amount of money Cindy and Sabrina received. Cindy received
14 as much money as Sabrina. If Jean received $20 more than Cindy, find the total sum of money the 4 girls received.
Jean |
Hazel |
Cindy |
Sabrina |
Total |
2x3 |
5x3 |
|
|
1x5 |
2x5 |
|
|
|
1x2 |
4x2 |
|
6 u |
5 u |
2 u |
8 u |
21 u |
The total amount that Cindy and Sabrina have is repeated. Make the total amount that Cindy and Sabrina have the same. LCM of 5 and 2 is 10.
The total amount that Hazel, Cindy and Sabrina have is repeated. Make the total amount that Hazel, Cindy and Sabrina have the same. LCM of 3 and 5 is 15.
Amount that Jean had more than Cindy
= 6 u - 2 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Total sum of money that 4 girls received
= 6 u + 5 u + 2 u + 8 u
= 21 u
= 21 x 5
= $105
Answer(s): $105