Simon, Bobby and Emily share a sum of money. Simon's share is half of what Bobby and Emily receive. Bobby's share is
712 of the sum of money. Emily receives $30 less than Bobby.
- What fraction of the sum of money is Simon's share?
- How much is the sum of money?
Simon |
Emily |
Bobby |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Simon, Bobby and Emily had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Emily's shareTotal amount =
112 (b)
Amount that Emily had less than Bobby
= 7 u - 1 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Total amount that Simon, Bobby and Emily had
= 12 u
= 12 x 5
= $60
Answer(s): (a)
112; (b) $60