Zeph has 2 boxes and 3 packets of pens. He has a total of 59 pens. Each packet contains 3 more pens than each box. How many pens are there in each packet?
| |
Boxes |
Packets |
Total |
| Number |
2 |
3 |
|
| Value |
1 u |
1 u + 3 |
|
| Total value |
2 u |
3 u + 9 |
5 u + 9 |
Number of pens in each box = 1 u
Number of pens in each packet = 1 u + 3
Total number of pens in the boxes = 2 x 1 u = 2 u
Total number of pens in the packets = 3(1 u + 3) = 3 u + 9
Total number of pens
= 3 u + 2 u + 9
= 5 u + 9
5 u + 9 = 59
5 u = 59 - 9
5 u = 50
1 u = 50 ÷ 5 = 10
Number of pens in each packet
= 1 u + 3
= 10 + 3
= 13
Answer(s): 13
