Tim, Pierre and Kathy share a sum of money. Tim's share is half of what Pierre and Kathy receive. Pierre's share is
815 of the sum of money. Kathy receives $30 less than Tim.
- What fraction of the sum of money is Tim's share?
- How much is the sum of money?
Tim |
Kathy |
Pierre |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Tim, Pierre and Kathy had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Tim's shareTotal amount =
515 =
13 (b)
Amount that Kathy had less than Tim
= 5 u - 2 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total amount that Tim, Pierre and Kathy had
= 15 u
= 15 x 10
= $150
Answer(s): (a)
13; (b) $150