Oscar has 3 packets and 2 bags of coins. He has a total of 69 coins. Each bag contains 2 more coins than each packet. How many coins are there in each bag?
| |
Packets |
Bags |
Total |
| Number |
3 |
2 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
3 u |
2 u + 4 |
5 u + 4 |
Number of coins in each packet = 1 u
Number of coins in each bag = 1 u + 2
Total number of coins in the packets = 3 x 1 u = 3 u
Total number of coins in the bags = 2(1 u + 2) = 2 u + 4
Total number of coins
= 2 u + 3 u + 4
= 5 u + 4
5 u + 4 = 69
5 u = 69 - 4
5 u = 65
1 u = 65 ÷ 5 = 13
Number of coins in each bag
= 1 u + 2
= 13 + 2
= 15
Answer(s): 15
