Daniel, Carl and Tina share a sum of money. Daniel's share is half of what Carl and Tina receive. Carl's share is
815 of the sum of money. Tina receives $66 less than Carl.
- What fraction of the sum of money is Daniel's share?
- How much is the sum of money?
Daniel |
Tina |
Carl |
Total |
1x5 |
2x5 |
3x5 |
7 |
8 |
15 |
5 u |
2 u |
8 u |
15 u |
(a)
The total amount that Daniel, Carl and Tina had is repeated. Make the total amount the same. LCM of 3 and 15 is 15.
Tina's shareTotal amount =
215 (b)
Amount that Tina had less than Carl
= 8 u - 2 u
= 6 u
6 u = 66
1 u = 66 ÷ 6 = 11
Total amount that Daniel, Carl and Tina had
= 15 u
= 15 x 11
= $165
Answer(s): (a)
215; (b) $165