Will has 2 packets and 5 bags of coins. He has a total of 165 coins. Each bag contains 5 more coins than each packet. How many coins are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
2 |
5 |
|
| Value |
1 u |
1 u + 5 |
|
| Total value |
2 u |
5 u + 25 |
7 u + 25 |
Number of coins in each packet = 1 u
Number of coins in each bag = 1 u + 5
Total number of coins in the packets = 2 x 1 u = 2 u
Total number of coins in the bags = 5(1 u + 5) = 5 u + 25
Total number of coins
= 5 u + 2 u + 25
= 7 u + 25
7 u + 25 = 165
7 u = 165 - 25
7 u = 140
1 u = 140 ÷ 7 = 20
Number of coins in each bag
= 1 u + 5
= 20 + 5
= 25
Answer(s): 25
