Ivory has 6 cards fewer than Jade but 31 cards more than Perry. The three children have 122 cards altogether.
- How many cards does Perry have?
- How many cards does Jade have?
(a)
Number of cards Jade has = 1 u
Number of cards Ivory has = 1 u - 6
Number of cards Perry has = 1 u - 6 - 31 = 1 u - 37
Total number of cards
= 1 u + 1 u - 6 + 1 u - 37
= 3 u - 43
3 u - 43 = 122
3 u = 122 + 43
3 u = 165
1 u = 165 ÷ 3 = 55
Number of cards that Perry has
= 1 u - 37
= 55 - 37
= 18
(b)
Number of cards that Jade has
= 1 u
= 55
Answer(s): (a) 18; (b) 55