Warren has 4 bags and 6 boxes of buttons. He has a total of 184 buttons. Each box contains 9 more buttons than each bag. How many buttons are there in each box?
|
Bags |
Boxes |
Total |
Number |
4 |
6 |
|
Value |
1 u |
1 u + 9 |
|
Total value |
4 u |
6 u + 54 |
10 u + 54 |
Number of buttons in each bag = 1 u
Number of buttons in each box = 1 u + 9
Total number of buttons in the bags = 4 x 1 u = 4 u
Total number of buttons in the boxes = 6(1 u + 9) = 6 u + 54
Total number of buttons
= 6 u + 4 u + 54
= 10 u + 54
10 u + 54 = 184
10 u = 184 - 54
10 u = 130
1 u = 130 ÷ 10 = 13
Number of buttons in each box
= 1 u + 9
= 13 + 9
= 22
Answer(s): 22