Ian, Daniel and Vanessa share a sum of money. Ian's share is half of what Daniel and Vanessa receive. Daniel's share is
712 of the sum of money. Vanessa receives $9 less than Ian.
- What fraction of the sum of money is Ian's share?
- How much is the sum of money?
Ian |
Vanessa |
Daniel |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Ian, Daniel and Vanessa had is repeated. Make the total amount the same. LCM of 3 and 12 is 12.
Ian's shareTotal amount =
412 =
13 (b)
Amount that Vanessa had less than Ian
= 4 u - 1 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total amount that Ian, Daniel and Vanessa had
= 12 u
= 12 x 3
= $36
Answer(s): (a)
13; (b) $36