Reggie bought 42 more cards than Billy and Billy bought 18 cards more than Tiffany. The total number of cards Reggie and Billy bought was 5 times the number of cards Tiffany bought.
- How many cards does Reggie need to give Billy so that they have the same number of cards?
- How many cards did all three of them have altogether?
Reggie |
Billy |
Tiffany |
1 u + 18 + 42 |
1 u + 18 |
1 u |
5 u |
1 u |
(a)
Number of cards that Reggie needs to give Billy so that they have same number of cards
= 42 ÷ 2
= 21
(b)
Total number of cards that Reggie and Billy had
= 1 u + 18 + 42 + 1 u + 18
= 1 u + 1 u + 18 + 42 + 18
= 2 u + 78
5 u = 2 u + 78
5 u - 2 u = 78
3 u = 78
1 u = 78 ÷ 3 = 26
Total number of cards that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 26
= 156
Answer(s): (a) 21; (b) 156