Tim has 3 bags and 4 boxes of beads. He has a total of 69 beads. Each box contains 5 more beads than each bag. How many beads are there in each box?
| |
Bags |
Boxes |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 5 |
|
| Total value |
3 u |
4 u + 20 |
7 u + 20 |
Number of beads in each bag = 1 u
Number of beads in each box = 1 u + 5
Total number of beads in the bags = 3 x 1 u = 3 u
Total number of beads in the boxes = 4(1 u + 5) = 4 u + 20
Total number of beads
= 4 u + 3 u + 20
= 7 u + 20
7 u + 20 = 69
7 u = 69 - 20
7 u = 49
1 u = 49 ÷ 7 = 7
Number of beads in each box
= 1 u + 5
= 7 + 5
= 12
Answer(s): 12
