Ben has four times as many cards as Harry. Harry has 9 more cards than Vaidev. They have a total of 81 cards.
- How many cards does Ben have?
- How many cards does Vaidev have?
(a)
Number of cards that Harry has = 1 u
Number of cards that Vaidev has = 1 u - 9
Number of cards that Ben has = 4 u
Total number of cards
= 1 u + 1 u - 9 + 4 u
= 6 u - 9
6 u - 9 = 81
6 u = 81 + 9
6 u = 90
1 u = 90 ÷ 6 = 15
Number of cards that Ben has
= 4 u
= 4 x 15
= 60
(b)
Number of cards that Vaidev has
= 1 u - 9
= 15 - 9
= 6
Answer(s): (a) 60; (b) 6
