Reggie has 2 packets and 6 boxes of beads. He has a total of 126 beads. Each box contains 9 more beads than each packet. How many beads are there in each box?
|
Packets |
Boxes |
Total |
Number |
2 |
6 |
|
Value |
1 u |
1 u + 9 |
|
Total value |
2 u |
6 u + 54 |
8 u + 54 |
Number of beads in each packet = 1 u
Number of beads in each box = 1 u + 9
Total number of beads in the packets = 2 x 1 u = 2 u
Total number of beads in the boxes = 6(1 u + 9) = 6 u + 54
Total number of beads
= 6 u + 2 u + 54
= 8 u + 54
8 u + 54 = 126
8 u = 126 - 54
8 u = 72
1 u = 72 ÷ 8 = 9
Number of beads in each box
= 1 u + 9
= 9 + 9
= 18
Answer(s): 18