Billy has twice as many cards as Paul. Paul has 10 more cards than Oliver. They have a total of 66 cards.
- How many cards does Billy have?
- How many cards does Oliver have?
(a)
Number of cards that Paul has = 1 u
Number of cards that Oliver has = 1 u - 10
Number of cards that Billy has = 2 u
Total number of cards
= 1 u + 1 u - 10 + 2 u
= 4 u - 10
4 u - 10 = 66
4 u = 66 + 10
4 u = 76
1 u = 76 ÷ 4 = 19
Number of cards that Billy has
= 2 u
= 2 x 19
= 38
(b)
Number of cards that Oliver has
= 1 u - 10
= 19 - 10
= 9
Answer(s): (a) 38; (b) 9