Brandon, Simon and Mary share a sum of money. Brandon's share is half of what Simon and Mary receive. Simon's share is
49 of the sum of money. Mary receives $20 less than Simon.
- What fraction of the sum of money is Brandon's share?
- How much is the sum of money?
Brandon |
Mary |
Simon |
Total |
1x3 |
2x3 |
3x3 |
5 |
4 |
9 |
3 u |
2 u |
4 u |
9 u |
(a)
The total amount that Brandon, Simon and Mary had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Mary's shareTotal amount =
29 (b)
Amount that Mary had less than Simon
= 4 u - 2 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount that Brandon, Simon and Mary had
= 9 u
= 9 x 10
= $90
Answer(s): (a)
29; (b) $90