Ivan has 4 boxes and 6 bags of coins. He has a total of 176 coins. Each bag contains 6 more coins than each box. How many coins are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
4 |
6 |
|
| Value |
1 u |
1 u + 6 |
|
| Total value |
4 u |
6 u + 36 |
10 u + 36 |
Number of coins in each box = 1 u
Number of coins in each bag = 1 u + 6
Total number of coins in the boxes = 4 x 1 u = 4 u
Total number of coins in the bags = 6(1 u + 6) = 6 u + 36
Total number of coins
= 6 u + 4 u + 36
= 10 u + 36
10 u + 36 = 176
10 u = 176 - 36
10 u = 140
1 u = 140 ÷ 10 = 14
Number of coins in each bag
= 1 u + 6
= 14 + 6
= 20
Answer(s): 20
