Cody has 3 boxes and 2 bags of pens. He has a total of 104 pens. Each bag contains 7 more pens than each box. How many pens are there in each bag?
|
Boxes |
Bags |
Total |
Number |
3 |
2 |
|
Value |
1 u |
1 u + 7 |
|
Total value |
3 u |
2 u + 14 |
5 u + 14 |
Number of pens in each box = 1 u
Number of pens in each bag = 1 u + 7
Total number of pens in the boxes = 3 x 1 u = 3 u
Total number of pens in the bags = 2(1 u + 7) = 2 u + 14
Total number of pens
= 2 u + 3 u + 14
= 5 u + 14
5 u + 14 = 104
5 u = 104 - 14
5 u = 90
1 u = 90 ÷ 5 = 18
Number of pens in each bag
= 1 u + 7
= 18 + 7
= 25
Answer(s): 25