Ryan has 3 boxes and 2 bags of beads. He has a total of 113 beads. Each bag contains 9 more beads than each box. How many beads are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
3 |
2 |
|
| Value |
1 u |
1 u + 9 |
|
| Total value |
3 u |
2 u + 18 |
5 u + 18 |
Number of beads in each box = 1 u
Number of beads in each bag = 1 u + 9
Total number of beads in the boxes = 3 x 1 u = 3 u
Total number of beads in the bags = 2(1 u + 9) = 2 u + 18
Total number of beads
= 2 u + 3 u + 18
= 5 u + 18
5 u + 18 = 113
5 u = 113 - 18
5 u = 95
1 u = 95 ÷ 5 = 19
Number of beads in each bag
= 1 u + 9
= 19 + 9
= 28
Answer(s): 28
