Will has 6 boxes and 2 packets of stamps. He has a total of 100 stamps. Each packet contains 2 more stamps than each box. How many stamps are there in each packet?
| |
Boxes |
Packets |
Total |
| Number |
6 |
2 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
6 u |
2 u + 4 |
8 u + 4 |
Number of stamps in each box = 1 u
Number of stamps in each packet = 1 u + 2
Total number of stamps in the boxes = 6 x 1 u = 6 u
Total number of stamps in the packets = 2(1 u + 2) = 2 u + 4
Total number of stamps
= 2 u + 6 u + 4
= 8 u + 4
8 u + 4 = 100
8 u = 100 - 4
8 u = 96
1 u = 96 ÷ 8 = 12
Number of stamps in each packet
= 1 u + 2
= 12 + 2
= 14
Answer(s): 14
