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