Luis bought 68 more cards than Archie and Archie bought 11 cards more than Cathy. The total number of cards Luis and Archie bought was 4 times the number of cards Cathy bought.
- How many cards does Luis need to give Archie so that they have the same number of cards?
- How many cards did all three of them have altogether?
Luis |
Archie |
Cathy |
1 u + 11 + 68 |
1 u + 11 |
1 u |
4 u |
1 u |
(a)
Number of cards that Luis needs to give Archie so that they have same number of cards
= 68 ÷ 2
= 34
(b)
Total number of cards that Luis and Archie had
= 1 u + 11 + 68 + 1 u + 11
= 1 u + 1 u + 11 + 68 + 11
= 2 u + 90
4 u = 2 u + 90
4 u - 2 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Total number of cards that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 45
= 225
Answer(s): (a) 34; (b) 225