Luke has 4 boxes and 2 bags of buttons. He has a total of 104 buttons. Each bag contains 4 more buttons than each box. How many buttons are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
4 |
2 |
|
| Value |
1 u |
1 u + 4 |
|
| Total value |
4 u |
2 u + 8 |
6 u + 8 |
Number of buttons in each box = 1 u
Number of buttons in each bag = 1 u + 4
Total number of buttons in the boxes = 4 x 1 u = 4 u
Total number of buttons in the bags = 2(1 u + 4) = 2 u + 8
Total number of buttons
= 2 u + 4 u + 8
= 6 u + 8
6 u + 8 = 104
6 u = 104 - 8
6 u = 96
1 u = 96 ÷ 6 = 16
Number of buttons in each bag
= 1 u + 4
= 16 + 4
= 20
Answer(s): 20
