Kylie has 4 cards fewer than Dana but 13 cards more than Paul. The three children have 204 cards altogether.
- How many cards does Paul have?
- How many cards does Dana have?
(a)
Number of cards Dana has = 1 u
Number of cards Kylie has = 1 u - 4
Number of cards Paul has = 1 u - 4 - 13 = 1 u - 17
Total number of cards
= 1 u + 1 u - 4 + 1 u - 17
= 3 u - 21
3 u - 21 = 204
3 u = 204 + 21
3 u = 225
1 u = 225 ÷ 3 = 75
Number of cards that Paul has
= 1 u - 17
= 75 - 17
= 58
(b)
Number of cards that Dana has
= 1 u
= 75
Answer(s): (a) 58; (b) 75