Ian, Pierre and Hazel share a sum of money. Ian's share is half of what Pierre and Hazel receive. Pierre's share is
712 of the sum of money. Hazel receives $15 less than Ian.
- What fraction of the sum of money is Ian's share?
- How much is the sum of money?
Ian |
Hazel |
Pierre |
Total |
1x4 |
2x4 |
3x4 |
5 |
7 |
12 |
4 u |
1 u |
7 u |
12 u |
(a)
The total amount that Ian, Pierre and Hazel 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 Hazel had less than Ian
= 4 u - 1 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total amount that Ian, Pierre and Hazel had
= 12 u
= 12 x 5
= $60
Answer(s): (a)
13; (b) $60