Valen has 3 boxes and 6 bags of coins. He has a total of 177 coins. Each bag contains 7 more coins than each box. How many coins are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
3 |
6 |
|
| Value |
1 u |
1 u + 7 |
|
| Total value |
3 u |
6 u + 42 |
9 u + 42 |
Number of coins in each box = 1 u
Number of coins in each bag = 1 u + 7
Total number of coins in the boxes = 3 x 1 u = 3 u
Total number of coins in the bags = 6(1 u + 7) = 6 u + 42
Total number of coins
= 6 u + 3 u + 42
= 9 u + 42
9 u + 42 = 177
9 u = 177 - 42
9 u = 135
1 u = 135 ÷ 9 = 15
Number of coins in each bag
= 1 u + 7
= 15 + 7
= 22
Answer(s): 22
