Ian has 5 bags and 3 boxes of beads. He has a total of 150 beads. Each box contains 2 more beads than each bag. How many beads are there in each box?
| |
Bags |
Boxes |
Total |
| Number |
5 |
3 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
5 u |
3 u + 6 |
8 u + 6 |
Number of beads in each bag = 1 u
Number of beads in each box = 1 u + 2
Total number of beads in the bags = 5 x 1 u = 5 u
Total number of beads in the boxes = 3(1 u + 2) = 3 u + 6
Total number of beads
= 3 u + 5 u + 6
= 8 u + 6
8 u + 6 = 150
8 u = 150 - 6
8 u = 144
1 u = 144 ÷ 8 = 18
Number of beads in each box
= 1 u + 2
= 18 + 2
= 20
Answer(s): 20
