Ken has 5 packets and 2 bags of buttons. He has a total of 109 buttons. Each bag contains 9 more buttons than each packet. How many buttons are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
5 |
2 |
|
| Value |
1 u |
1 u + 9 |
|
| Total value |
5 u |
2 u + 18 |
7 u + 18 |
Number of buttons in each packet = 1 u
Number of buttons in each bag = 1 u + 9
Total number of buttons in the packets = 5 x 1 u = 5 u
Total number of buttons in the bags = 2(1 u + 9) = 2 u + 18
Total number of buttons
= 2 u + 5 u + 18
= 7 u + 18
7 u + 18 = 109
7 u = 109 - 18
7 u = 91
1 u = 91 ÷ 7 = 13
Number of buttons in each bag
= 1 u + 9
= 13 + 9
= 22
Answer(s): 22
