Henry has 2 bags and 3 boxes of beads. He has a total of 114 beads. Each box contains 8 more beads than each bag. How many beads are there in each box?
| |
Bags |
Boxes |
Total |
| Number |
2 |
3 |
|
| Value |
1 u |
1 u + 8 |
|
| Total value |
2 u |
3 u + 24 |
5 u + 24 |
Number of beads in each bag = 1 u
Number of beads in each box = 1 u + 8
Total number of beads in the bags = 2 x 1 u = 2 u
Total number of beads in the boxes = 3(1 u + 8) = 3 u + 24
Total number of beads
= 3 u + 2 u + 24
= 5 u + 24
5 u + 24 = 114
5 u = 114 - 24
5 u = 90
1 u = 90 ÷ 5 = 18
Number of beads in each box
= 1 u + 8
= 18 + 8
= 26
Answer(s): 26
