Liam, Oscar and Dana share a sum of money. Liam's share is half of what Oscar and Dana receive. Oscar's share is
712 of the sum of money. Dana receives $27 less than Liam.
- What fraction of the sum of money is Liam's share?
- How much is the sum of money?
Liam |
Dana |
Oscar |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Liam, Oscar and Dana had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Liam's shareTotal amount =
412 =
13 (b)
Amount that Dana had less than Liam
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total amount that Liam, Oscar and Dana had
= 12 u
= 12 x 9
= $108
Answer(s): (a)
13; (b) $108