Peter, Andy and Yen share a sum of money. Peter's share is half of what Andy and Yen receive. Andy's share is
49 of the sum of money. Yen receives $22 less than Andy.
- What fraction of the sum of money is Peter's share?
- How much is the sum of money?
Peter |
Yen |
Andy |
Total |
1x3 |
2x3 |
3x3 |
5 |
4 |
9 |
3 u |
2 u |
4 u |
9 u |
(a)
The total amount that Peter, Andy and Yen had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Yen's shareTotal amount =
29 (b)
Amount that Yen had less than Andy
= 4 u - 2 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Total amount that Peter, Andy and Yen had
= 9 u
= 9 x 11
= $99
Answer(s): (a)
29; (b) $99