Will has 3 bags and 4 packets of cards. He has a total of 168 cards. Each packet contains 7 more cards than each bag. How many cards are there in each packet?
| |
Bags |
Packets |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 7 |
|
| Total value |
3 u |
4 u + 28 |
7 u + 28 |
Number of cards in each bag = 1 u
Number of cards in each packet = 1 u + 7
Total number of cards in the bags = 3 x 1 u = 3 u
Total number of cards in the packets = 4(1 u + 7) = 4 u + 28
Total number of cards
= 4 u + 3 u + 28
= 7 u + 28
7 u + 28 = 168
7 u = 168 - 28
7 u = 140
1 u = 140 ÷ 7 = 20
Number of cards in each packet
= 1 u + 7
= 20 + 7
= 27
Answer(s): 27
