Peter has 3 bags and 2 packets of cards. He has a total of 68 cards. Each packet contains 9 more cards than each bag. How many cards are there in each packet?
| |
Bags |
Packets |
Total |
| Number |
3 |
2 |
|
| Value |
1 u |
1 u + 9 |
|
| Total value |
3 u |
2 u + 18 |
5 u + 18 |
Number of cards in each bag = 1 u
Number of cards in each packet = 1 u + 9
Total number of cards in the bags = 3 x 1 u = 3 u
Total number of cards in the packets = 2(1 u + 9) = 2 u + 18
Total number of cards
= 2 u + 3 u + 18
= 5 u + 18
5 u + 18 = 68
5 u = 68 - 18
5 u = 50
1 u = 50 ÷ 5 = 10
Number of cards in each packet
= 1 u + 9
= 10 + 9
= 19
Answer(s): 19
