Henry has 2 packets and 6 bags of beads. He has a total of 164 beads. Each bag contains 10 more beads than each packet. How many beads are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
2 |
6 |
|
| Value |
1 u |
1 u + 10 |
|
| Total value |
2 u |
6 u + 60 |
8 u + 60 |
Number of beads in each packet = 1 u
Number of beads in each bag = 1 u + 10
Total number of beads in the packets = 2 x 1 u = 2 u
Total number of beads in the bags = 6(1 u + 10) = 6 u + 60
Total number of beads
= 6 u + 2 u + 60
= 8 u + 60
8 u + 60 = 164
8 u = 164 - 60
8 u = 104
1 u = 104 ÷ 8 = 13
Number of beads in each bag
= 1 u + 10
= 13 + 10
= 23
Answer(s): 23
