Liam has 2 boxes and 5 bags of coins. He has a total of 129 coins. Each bag contains 2 more coins than each box. How many coins are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
2 |
5 |
|
| Value |
1 u |
1 u + 2 |
|
| Total value |
2 u |
5 u + 10 |
7 u + 10 |
Number of coins in each box = 1 u
Number of coins in each bag = 1 u + 2
Total number of coins in the boxes = 2 x 1 u = 2 u
Total number of coins in the bags = 5(1 u + 2) = 5 u + 10
Total number of coins
= 5 u + 2 u + 10
= 7 u + 10
7 u + 10 = 129
7 u = 129 - 10
7 u = 119
1 u = 119 ÷ 7 = 17
Number of coins in each bag
= 1 u + 2
= 17 + 2
= 19
Answer(s): 19
