Jeremy has twice as many cards as Owen. Owen has 12 more cards than Liam. They have a total of 128 cards.
- How many cards does Jeremy have?
- How many cards does Liam have?
(a)
Number of cards that Owen has = 1 u
Number of cards that Liam has = 1 u - 12
Number of cards that Jeremy has = 2 u
Total number of cards
= 1 u + 1 u - 12 + 2 u
= 4 u - 12
4 u - 12 = 128
4 u = 128 + 12
4 u = 140
1 u = 140 ÷ 4 = 35
Number of cards that Jeremy has
= 2 u
= 2 x 35
= 70
(b)
Number of cards that Liam has
= 1 u - 12
= 35 - 12
= 23
Answer(s): (a) 70; (b) 23