Emma, Kylie, Zoe and Natalie received a sum of money. Emma received
25 of the total amount of money Kylie, Zoe and Natalie received. Kylie received
13 of the total amount of money Zoe and Natalie received. Zoe received
14 as much money as Natalie. If Kylie received $21 less than Emma, find the total sum of money the 4 girls received.
Emma |
Kylie |
Zoe |
Natalie |
Total |
2x4 |
5x4 |
|
|
1x5 |
3x5 |
|
|
|
1x3 |
4x3 |
|
8 u |
5 u |
3 u |
12 u |
28 u |
The total amount that Zoe and Natalie have is repeated. Make the total amount that Zoe and Natalie have the same. LCM of 5 and 3 is 15.
The total amount that Kylie, Zoe and Natalie have is repeated. Make the total amount that Kylie, Zoe and Natalie have the same. LCM of 4 and 5 is 20.
Amount that Kylie had less than Emma
= 8 u - 5 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Total sum of money that 4 girls received
= 8 u + 5 u + 3 u + 12 u
= 28 u
= 28 x 7
= $196
Answer(s): $196