Michael, Bobby and Sabrina share a sum of money. Michael's share is half of what Bobby and Sabrina receive. Bobby's share is
712 of the sum of money. Sabrina receives $42 less than Bobby.
- What fraction of the sum of money is Michael's share?
- How much is the sum of money?
Michael |
Sabrina |
Bobby |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Michael, Bobby and Sabrina had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Sabrina's shareTotal amount =
112 (b)
Amount that Sabrina had less than Bobby
= 7 u - 1 u
= 6 u
6 u = 42
1 u = 42 ÷ 6 = 7
Total amount that Michael, Bobby and Sabrina had
= 12 u
= 12 x 7
= $84
Answer(s): (a)
112; (b) $84