Daniel, Ian and Cathy share a sum of money. Daniel's share is half of what Ian and Cathy receive. Ian's share is
815 of the sum of money. Cathy receives $27 less than Daniel.
- What fraction of the sum of money is Daniel's share?
- How much is the sum of money?
Daniel |
Cathy |
Ian |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Daniel, Ian and Cathy had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Daniel's shareTotal amount =
515 =
13 (b)
Amount that Cathy had less than Daniel
= 5 u - 2 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Total amount that Daniel, Ian and Cathy had
= 15 u
= 15 x 9
= $135
Answer(s): (a)
13; (b) $135