Fabian has thrice as many cards as Peter. Peter has 11 more cards than David. They have a total of 59 cards.
- How many cards does Fabian have?
- How many cards does David have?
(a)
Number of cards that Peter has = 1 u
Number of cards that David has = 1 u - 11
Number of cards that Fabian has = 3 u
Total number of cards
= 1 u + 1 u - 11 + 3 u
= 5 u - 11
5 u - 11 = 59
5 u = 59 + 11
5 u = 70
1 u = 70 ÷ 5 = 14
Number of cards that Fabian has
= 3 u
= 3 x 14
= 42
(b)
Number of cards that David has
= 1 u - 11
= 14 - 11
= 3
Answer(s): (a) 42; (b) 3
