Jack has 6 packets and 3 boxes of buttons. He has a total of 207 buttons. Each box contains 9 more buttons than each packet. How many buttons are there in each box?
| |
Packets |
Boxes |
Total |
| Number |
6 |
3 |
|
| Value |
1 u |
1 u + 9 |
|
| Total value |
6 u |
3 u + 27 |
9 u + 27 |
Number of buttons in each packet = 1 u
Number of buttons in each box = 1 u + 9
Total number of buttons in the packets = 6 x 1 u = 6 u
Total number of buttons in the boxes = 3(1 u + 9) = 3 u + 27
Total number of buttons
= 3 u + 6 u + 27
= 9 u + 27
9 u + 27 = 207
9 u = 207 - 27
9 u = 180
1 u = 180 ÷ 9 = 20
Number of buttons in each box
= 1 u + 9
= 20 + 9
= 29
Answer(s): 29
