Gabriel, Ivan and Betty share a sum of money. Gabriel's share is half of what Ivan and Betty receive. Ivan's share is
715 of the sum of money. Betty receives $16 less than Gabriel.
- What fraction of the sum of money is Gabriel's share?
- How much is the sum of money?
Gabriel |
Betty |
Ivan |
Total |
1x5 |
2x5 |
3x5 |
8 |
7 |
15 |
5 u |
3 u |
7 u |
15 u |
(a)
The total amount that Gabriel, Ivan and Betty had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Gabriel's shareTotal amount =
515 =
13 (b)
Amount that Betty had less than Gabriel
= 5 u - 3 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Total amount that Gabriel, Ivan and Betty had
= 15 u
= 15 x 8
= $120
Answer(s): (a)
13; (b) $120