Dylan, Liam and Erika share a sum of money. Dylan's share is half of what Liam and Erika receive. Liam's share is
712 of the sum of money. Erika receives $48 less than Liam.
- What fraction of the sum of money is Dylan's share?
- How much is the sum of money?
Dylan |
Erika |
Liam |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Dylan, Liam and Erika had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Erika's shareTotal amount =
112 (b)
Amount that Erika had less than Liam
= 7 u - 1 u
= 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
Total amount that Dylan, Liam and Erika had
= 12 u
= 12 x 8
= $96
Answer(s): (a)
112; (b) $96