David has 4 bags and 6 boxes of beads. He has a total of 156 beads. Each box contains 6 more beads than each bag. How many beads are there in each box?
| |
Bags |
Boxes |
Total |
| Number |
4 |
6 |
|
| Value |
1 u |
1 u + 6 |
|
| Total value |
4 u |
6 u + 36 |
10 u + 36 |
Number of beads in each bag = 1 u
Number of beads in each box = 1 u + 6
Total number of beads in the bags = 4 x 1 u = 4 u
Total number of beads in the boxes = 6(1 u + 6) = 6 u + 36
Total number of beads
= 6 u + 4 u + 36
= 10 u + 36
10 u + 36 = 156
10 u = 156 - 36
10 u = 120
1 u = 120 ÷ 10 = 12
Number of beads in each box
= 1 u + 6
= 12 + 6
= 18
Answer(s): 18
