Mark bought 42 more cards than Ethan and Ethan bought 12 cards more than Shannon. The total number of cards Mark and Ethan bought was 5 times the number of cards Shannon bought.
- How many cards does Mark need to give Ethan so that they have the same number of cards?
- How many cards did all three of them have altogether?
Mark |
Ethan |
Shannon |
1 u + 12 + 42 |
1 u + 12 |
1 u |
5 u |
1 u |
(a)
Number of cards that Mark needs to give Ethan so that they have same number of cards
= 42 ÷ 2
= 21
(b)
Total number of cards that Mark and Ethan had
= 1 u + 12 + 42 + 1 u + 12
= 1 u + 1 u + 12 + 42 + 12
= 2 u + 66
5 u = 2 u + 66
5 u - 2 u = 66
3 u = 66
1 u = 66 ÷ 3 = 22
Total number of cards that all three of them had
= 5 u + 1 u
= 6 u
= 6 x 22
= 132
Answer(s): (a) 21; (b) 132