Will has 3 boxes and 4 packets of beads. He has a total of 166 beads. Each packet contains 10 more beads than each box. How many beads are there in each packet?
| |
Boxes |
Packets |
Total |
| Number |
3 |
4 |
|
| Value |
1 u |
1 u + 10 |
|
| Total value |
3 u |
4 u + 40 |
7 u + 40 |
Number of beads in each box = 1 u
Number of beads in each packet = 1 u + 10
Total number of beads in the boxes = 3 x 1 u = 3 u
Total number of beads in the packets = 4(1 u + 10) = 4 u + 40
Total number of beads
= 4 u + 3 u + 40
= 7 u + 40
7 u + 40 = 166
7 u = 166 - 40
7 u = 126
1 u = 126 ÷ 7 = 18
Number of beads in each packet
= 1 u + 10
= 18 + 10
= 28
Answer(s): 28
