Peter, Justin and Hilda share a sum of money. Peter's share is half of what Justin and Hilda receive. Justin's share is
815 of the sum of money. Hilda receives $48 less than Justin.
- What fraction of the sum of money is Peter's share?
- How much is the sum of money?
Peter |
Hilda |
Justin |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Peter, Justin and Hilda had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Hilda's shareTotal amount =
215 (b)
Amount that Hilda had less than Justin
= 8 u - 2 u
= 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
Total amount that Peter, Justin and Hilda had
= 15 u
= 15 x 8
= $120
Answer(s): (a)
215; (b) $120