Japheth, Reggie and Gwen share a sum of money. Japheth's share is half of what Reggie and Gwen receive. Reggie's share is
815 of the sum of money. Gwen receives $6 less than Japheth.
- What fraction of the sum of money is Japheth's share?
- How much is the sum of money?
Japheth |
Gwen |
Reggie |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Japheth, Reggie and Gwen had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Japheth's shareTotal amount =
515 =
13 (b)
Amount that Gwen had less than Japheth
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total amount that Japheth, Reggie and Gwen had
= 15 u
= 15 x 2
= $30
Answer(s): (a)
13; (b) $30