Mark bought 76 more cards than Tom and Tom bought 13 cards more than Jean. The total number of cards Mark and Tom bought was 4 times the number of cards Jean bought.
- How many cards does Mark need to give Tom so that they have the same number of cards?
- How many cards did all three of them have altogether?
Mark |
Tom |
Jean |
1 u + 13 + 76 |
1 u + 13 |
1 u |
4 u |
1 u |
(a)
Number of cards that Mark needs to give Tom so that they have same number of cards
= 76 ÷ 2
= 38
(b)
Total number of cards that Mark and Tom had
= 1 u + 13 + 76 + 1 u + 13
= 1 u + 1 u + 13 + 76 + 13
= 2 u + 102
4 u = 2 u + 102
4 u - 2 u = 102
2 u = 102
1 u = 102 ÷ 2 = 51
Total number of cards that all three of them had
= 4 u + 1 u
= 5 u
= 5 x 51
= 255
Answer(s): (a) 38; (b) 255