Sean has 5 packets and 2 bags of beads. He has a total of 128 beads. Each bag contains 8 more beads than each packet. How many beads are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
5 |
2 |
|
| Value |
1 u |
1 u + 8 |
|
| Total value |
5 u |
2 u + 16 |
7 u + 16 |
Number of beads in each packet = 1 u
Number of beads in each bag = 1 u + 8
Total number of beads in the packets = 5 x 1 u = 5 u
Total number of beads in the bags = 2(1 u + 8) = 2 u + 16
Total number of beads
= 2 u + 5 u + 16
= 7 u + 16
7 u + 16 = 128
7 u = 128 - 16
7 u = 112
1 u = 112 ÷ 7 = 16
Number of beads in each bag
= 1 u + 8
= 16 + 8
= 24
Answer(s): 24
