Oscar, Ivan and Fanny share a sum of money. Oscar's share is half of what Ivan and Fanny receive. Ivan's share is
59 of the sum of money. Fanny receives $8 less than Oscar.
- What fraction of the sum of money is Oscar's share?
- How much is the sum of money?
Oscar |
Fanny |
Ivan |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Oscar, Ivan and Fanny had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Oscar's shareTotal amount =
39 =
13 (b)
Amount that Fanny had less than Oscar
= 3 u - 1 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total amount that Oscar, Ivan and Fanny had
= 9 u
= 9 x 4
= $36
Answer(s): (a)
13; (b) $36