George, Ahmad and Abi share a sum of money. George's share is half of what Ahmad and Abi receive. Ahmad's share is
815 of the sum of money. Abi receives $18 less than Ahmad.
- What fraction of the sum of money is George's share?
- How much is the sum of money?
George |
Abi |
Ahmad |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that George, Ahmad and Abi had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Abi's shareTotal amount =
215 (b)
Amount that Abi had less than Ahmad
= 8 u - 2 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Total amount that George, Ahmad and Abi had
= 15 u
= 15 x 3
= $45
Answer(s): (a)
215; (b) $45