Dylan has 2 bags and 3 packets of pens. He has a total of 47 pens. Each packet contains 4 more pens than each bag. How many pens are there in each packet?
| |
Bags |
Packets |
Total |
| Number |
2 |
3 |
|
| Value |
1 u |
1 u + 4 |
|
| Total value |
2 u |
3 u + 12 |
5 u + 12 |
Number of pens in each bag = 1 u
Number of pens in each packet = 1 u + 4
Total number of pens in the bags = 2 x 1 u = 2 u
Total number of pens in the packets = 3(1 u + 4) = 3 u + 12
Total number of pens
= 3 u + 2 u + 12
= 5 u + 12
5 u + 12 = 47
5 u = 47 - 12
5 u = 35
1 u = 35 ÷ 5 = 7
Number of pens in each packet
= 1 u + 4
= 7 + 4
= 11
Answer(s): 11
