Fabian bought 50 more cards than Peter and Peter bought 11 cards more than Marion. The total number of cards Fabian and Peter bought was 5 times the number of cards Marion bought.
- How many cards does Fabian need to give Peter so that they have the same number of cards?
- How many cards did all three of them have altogether?
Fabian |
Peter |
Marion |
1 u + 11 + 50 |
1 u + 11 |
1 u |
5 u |
1 u |
(a)
Number of cards that Fabian needs to give Peter so that they have same number of cards
= 50 ÷ 2
= 25
(b)
Total number of cards that Fabian and Peter had
= 1 u + 11 + 50 + 1 u + 11
= 1 u + 1 u + 11 + 50 + 11
= 2 u + 72
5 u = 2 u + 72
5 u - 2 u = 72
3 u = 72
1 u = 72 ÷ 3 = 24
Total number of cards that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 24
= 144
Answer(s): (a) 25; (b) 144