Henry bought 62 more cards than Riordan and Riordan bought 10 cards more than Olivia. The total number of cards Henry and Riordan bought was 4 times the number of cards Olivia bought.
- How many cards does Henry need to give Riordan so that they have the same number of cards?
- How many cards did all three of them have altogether?
Henry |
Riordan |
Olivia |
1 u + 10 + 62 |
1 u + 10 |
1 u |
4 u |
1 u |
(a)
Number of cards that Henry needs to give Riordan so that they have same number of cards
= 62 ÷ 2
= 31
(b)
Total number of cards that Henry and Riordan had
= 1 u + 10 + 62 + 1 u + 10
= 1 u + 1 u + 10 + 62 + 10
= 2 u + 82
4 u = 2 u + 82
4 u - 2 u = 82
2 u = 82
1 u = 82 ÷ 2 = 41
Total number of cards that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 41
= 205
Answer(s): (a) 31; (b) 205