Vincent has twice as many cards as Ahmad. Ahmad has 11 more cards than Michael. They have a total of 81 cards.
- How many cards does Vincent have?
- How many cards does Michael have?
(a)
Number of cards that Ahmad has = 1 u
Number of cards that Michael has = 1 u - 11
Number of cards that Vincent has = 2 u
Total number of cards
= 1 u + 1 u - 11 + 2 u
= 4 u - 11
4 u - 11 = 81
4 u = 81 + 11
4 u = 92
1 u = 92 ÷ 4 = 23
Number of cards that Vincent has
= 2 u
= 2 x 23
= 46
(b)
Number of cards that Michael has
= 1 u - 11
= 23 - 11
= 12
Answer(s): (a) 46; (b) 12