Jeremy bought 68 more cards than Caden and Caden bought 23 cards more than Shannon. The total number of cards Jeremy and Caden bought was 5 times the number of cards Shannon bought.
- How many cards does Jeremy need to give Caden so that they have the same number of cards?
- How many cards did all three of them have altogether?
Jeremy |
Caden |
Shannon |
1 u + 23 + 68 |
1 u + 23 |
1 u |
5 u |
1 u |
(a)
Number of cards that Jeremy needs to give Caden so that they have same number of cards
= 68 ÷ 2
= 34
(b)
Total number of cards that Jeremy and Caden had
= 1 u + 23 + 68 + 1 u + 23
= 1 u + 1 u + 23 + 68 + 23
= 2 u + 114
5 u = 2 u + 114
5 u - 2 u = 114
3 u = 114
1 u = 114 ÷ 3 = 38
Total number of cards that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 38
= 228
Answer(s): (a) 34; (b) 228