Kylie, Gem, Cindy and Sarah received a sum of money. Kylie received
38 of the total amount of money Gem, Cindy and Sarah received. Gem received
15 of the total amount of money Cindy and Sarah received. Cindy received
13 as much money as Sarah. If Gem received $70 less than Kylie, find the total sum of money the 4 girls received.
Kylie |
Gem |
Cindy |
Sarah |
Total |
3x3 |
8x3 |
|
|
1x4 |
5x4 |
|
|
|
1x5 |
3x5 |
|
9 u |
4 u |
5 u |
15 u |
33 u |
The total amount that Cindy and Sarah have is repeated. Make the total amount that Cindy and Sarah have the same. LCM of 4 and 5 is 20.
The total amount that Gem, Cindy and Sarah have is repeated. Make the total amount that Gem, Cindy and Sarah have the same. LCM of 6 and 8 is 24.
Amount that Gem had less than Kylie
= 9 u - 4 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Total sum of money that 4 girls received
= 9 u + 4 u + 5 u + 15 u
= 33 u
= 33 x 14
= $462
Answer(s): $462