Glen has 4 bags and 3 boxes of pens. He has a total of 118 pens. Each box contains 2 more pens than each bag. How many pens are there in each box?
| |
Bags |
Boxes |
Total |
| Number |
4 |
3 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
4 u |
3 u + 6 |
7 u + 6 |
Number of pens in each bag = 1 u
Number of pens in each box = 1 u + 2
Total number of pens in the bags = 4 x 1 u = 4 u
Total number of pens in the boxes = 3(1 u + 2) = 3 u + 6
Total number of pens
= 3 u + 4 u + 6
= 7 u + 6
7 u + 6 = 118
7 u = 118 - 6
7 u = 112
1 u = 112 ÷ 7 = 16
Number of pens in each box
= 1 u + 2
= 16 + 2
= 18
Answer(s): 18
