Flynn bought 48 more cards than Billy and Billy bought 15 cards more than Sean. The total number of cards Flynn and Billy bought was 4 times the number of cards Sean bought.
- How many cards does Flynn need to give Billy so that they have the same number of cards?
- How many cards did all three of them have altogether?
(a)
Since Flynn had 48 cards more than Billy, Flynn needed to give half of his extra cards to Billy.
Number of cards that Flynn needs to give to Billy
= 48 ÷ 2
= 24
(b)
Number of cards that Sean bought = 1 u
Number of cards that Billy bought = 1 u + 15
Number of cards that Flynn bought
= 1 u + 15 + 48
= 1 u + 63
Number of cards that Billy and Flynn bought
= 1 u + 15 + 1 u + 63
= 2 u + 78
Total number of cards that Flynn and Billy bought is 4 times the number that Sean bought.
Number of cards that Billy and Flynn bought = 4 u
4 u = 2 u + 78
4 u - 2 u = 78
2 u = 78
1 u = 78 ÷ 2 = 39
Total number of cards
= 4 u + 1 u
= 5 u
= 5 x 39
= 195
Answer(s): (a) 24; (b) 195
