Jack has 4 packets and 2 bags of pens. He has a total of 64 pens. Each bag contains 8 more pens than each packet. How many pens are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
4 |
2 |
|
| Value |
1 u |
1 u + 8 |
|
| Total value |
4 u |
2 u + 16 |
6 u + 16 |
Number of pens in each packet = 1 u
Number of pens in each bag = 1 u + 8
Total number of pens in the packets = 4 x 1 u = 4 u
Total number of pens in the bags = 2(1 u + 8) = 2 u + 16
Total number of pens
= 2 u + 4 u + 16
= 6 u + 16
6 u + 16 = 64
6 u = 64 - 16
6 u = 48
1 u = 48 ÷ 6 = 8
Number of pens in each bag
= 1 u + 8
= 8 + 8
= 16
Answer(s): 16
