Jeremy has 4 packets and 2 boxes of cards. He has a total of 104 cards. Each box contains 7 more cards than each packet. How many cards are there in each box?
| |
Packets |
Boxes |
Total |
| Number |
4 |
2 |
|
| Value |
1 u |
1 u + 7 |
|
| Total value |
4 u |
2 u + 14 |
6 u + 14 |
Number of cards in each packet = 1 u
Number of cards in each box = 1 u + 7
Total number of cards in the packets = 4 x 1 u = 4 u
Total number of cards in the boxes = 2(1 u + 7) = 2 u + 14
Total number of cards
= 2 u + 4 u + 14
= 6 u + 14
6 u + 14 = 104
6 u = 104 - 14
6 u = 90
1 u = 90 ÷ 6 = 15
Number of cards in each box
= 1 u + 7
= 15 + 7
= 22
Answer(s): 22
