Billy has thrice as many cards as Will. Will has 9 more cards than Andy. They have a total of 116 cards.
- How many cards does Billy have?
- How many cards does Andy have?
(a)
Number of cards that Will has = 1 u
Number of cards that Andy has = 1 u - 9
Number of cards that Billy has = 3 u
Total number of cards
= 1 u + 1 u - 9 + 3 u
= 5 u - 9
5 u - 9 = 116
5 u = 116 + 9
5 u = 125
1 u = 125 ÷ 5 = 25
Number of cards that Billy has
= 3 u
= 3 x 25
= 75
(b)
Number of cards that Andy has
= 1 u - 9
= 25 - 9
= 16
Answer(s): (a) 75; (b) 16
