Rael bought 72 more cards than Ryan and Ryan bought 25 cards more than Nora. The total number of cards Rael and Ryan bought was 4 times the number of cards Nora bought.
- How many cards does Rael need to give Ryan so that they have the same number of cards?
- How many cards did all three of them have altogether?
Rael |
Ryan |
Nora |
1 u + 25 + 72 |
1 u + 25 |
1 u |
4 u |
1 u |
(a)
Number of cards that Rael needs to give Ryan so that they have same number of cards
= 72 ÷ 2
= 36
(b)
Total number of cards that Rael and Ryan had
= 1 u + 25 + 72 + 1 u + 25
= 1 u + 1 u + 25 + 72 + 25
= 2 u + 122
4 u = 2 u + 122
4 u - 2 u = 122
2 u = 122
1 u = 122 ÷ 2 = 61
Total number of cards that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 61
= 305
Answer(s): (a) 36; (b) 305