Billy, Luis and Emma share a sum of money. Billy's share is half of what Luis and Emma receive. Luis's share is
712 of the sum of money. Emma receives $12 less than Billy.
- What fraction of the sum of money is Billy's share?
- How much is the sum of money?
Billy |
Emma |
Luis |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Billy, Luis and Emma had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Billy's shareTotal amount =
412 =
13 (b)
Amount that Emma had less than Billy
= 4 u - 1 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Total amount that Billy, Luis and Emma had
= 12 u
= 12 x 4
= $48
Answer(s): (a)
13; (b) $48