Charlie, Simon and Penelope share a sum of money. Charlie's share is half of what Simon and Penelope receive. Simon's share is
712 of the sum of money. Penelope receives $24 less than Simon.
- What fraction of the sum of money is Charlie's share?
- How much is the sum of money?
Charlie |
Penelope |
Simon |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Charlie, Simon and Penelope had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Penelope's shareTotal amount =
112 (b)
Amount that Penelope had less than Simon
= 7 u - 1 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Total amount that Charlie, Simon and Penelope had
= 12 u
= 12 x 4
= $48
Answer(s): (a)
112; (b) $48