Ethan bought 38 more cards than Harry and Harry bought 24 cards more than Jean. The total number of cards Ethan and Harry bought was 4 times the number of cards Jean bought.
- How many cards does Ethan need to give Harry so that they have the same number of cards?
- How many cards did all three of them have altogether?
Ethan |
Harry |
Jean |
1 u + 24 + 38 |
1 u + 24 |
1 u |
4 u |
1 u |
(a)
Number of cards that Ethan needs to give Harry so that they have same number of cards
= 38 ÷ 2
= 19
(b)
Total number of cards that Ethan and Harry had
= 1 u + 24 + 38 + 1 u + 24
= 1 u + 1 u + 24 + 38 + 24
= 2 u + 86
4 u = 2 u + 86
4 u - 2 u = 86
2 u = 86
1 u = 86 ÷ 2 = 43
Total number of cards that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 43
= 215
Answer(s): (a) 19; (b) 215