Ethan, Ken and Linda share a sum of money. Ethan's share is half of what Ken and Linda receive. Ken's share is
815 of the sum of money. Linda receives $18 less than Ethan.
- What fraction of the sum of money is Ethan's share?
- How much is the sum of money?
Ethan |
Linda |
Ken |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Ethan, Ken and Linda had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Ethan's shareTotal amount =
515 =
13 (b)
Amount that Linda had less than Ethan
= 5 u - 2 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total amount that Ethan, Ken and Linda had
= 15 u
= 15 x 6
= $90
Answer(s): (a)
13; (b) $90