Xavier has thrice as many cards as Perry. Perry has 9 more cards than Liam. They have a total of 131 cards.
- How many cards does Xavier have?
- How many cards does Liam have?
(a)
Number of cards that Perry has = 1 u
Number of cards that Liam has = 1 u - 9
Number of cards that Xavier has = 3 u
Total number of cards
= 1 u + 1 u - 9 + 3 u
= 5 u - 9
5 u - 9 = 131
5 u = 131 + 9
5 u = 140
1 u = 140 ÷ 5 = 28
Number of cards that Xavier has
= 3 u
= 3 x 28
= 84
(b)
Number of cards that Liam has
= 1 u - 9
= 28 - 9
= 19
Answer(s): (a) 84; (b) 19