Ian, Justin and Lucy share a sum of money. Ian's share is half of what Justin and Lucy receive. Justin's share is
815 of the sum of money. Lucy receives $54 less than Justin.
- What fraction of the sum of money is Ian's share?
- How much is the sum of money?
Ian |
Lucy |
Justin |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Ian, Justin and Lucy had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Lucy's shareTotal amount =
215 (b)
Amount that Lucy had less than Justin
= 8 u - 2 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Total amount that Ian, Justin and Lucy had
= 15 u
= 15 x 9
= $135
Answer(s): (a)
215; (b) $135