Billy, Oliver and Risa share a sum of money. Billy's share is half of what Oliver and Risa receive. Oliver's share is
59 of the sum of money. Risa receives $32 less than Oliver.
- What fraction of the sum of money is Billy's share?
- How much is the sum of money?
Billy |
Risa |
Oliver |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Billy, Oliver and Risa had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Risa's shareTotal amount =
19 (b)
Amount that Risa had less than Oliver
= 5 u - 1 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total amount that Billy, Oliver and Risa had
= 9 u
= 9 x 8
= $72
Answer(s): (a)
19; (b) $72