Tiffany, Zoe, Jane and Eva received a sum of money. Tiffany received
25 of the total amount of money Zoe, Jane and Eva received. Zoe received
14 of the total amount of money Jane and Eva received. Jane received
15 as much money as Eva. If Zoe received $30 less than Tiffany, find the total sum of money the 4 girls received.
Tiffany |
Zoe |
Jane |
Eva |
Total |
2x3 |
5x3 |
|
|
1x3 |
4x3 |
|
|
|
1x2 |
5x2 |
|
6 u |
3 u |
2 u |
10 u |
21 u |
The total amount that Jane and Eva have is repeated. Make the total amount that Jane and Eva have the same. LCM of 6 and 4 is 12.
The total amount that Zoe, Jane and Eva have is repeated. Make the total amount that Zoe, Jane and Eva have the same. LCM of 5 and 5 is 15.
Amount that Zoe had less than Tiffany
= 6 u - 3 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total sum of money that 4 girls received
= 6 u + 3 u + 2 u + 10 u
= 21 u
= 21 x 10
= $210
Answer(s): $210