Lee has 4 boxes and 6 bags of marbles. He has a total of 122 marbles. Each bag contains 7 more marbles than each box. How many marbles are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
4 |
6 |
|
| Value |
1 u |
1 u + 7 |
|
| Total value |
4 u |
6 u + 42 |
10 u + 42 |
Number of marbles in each box = 1 u
Number of marbles in each bag = 1 u + 7
Total number of marbles in the boxes = 4 x 1 u = 4 u
Total number of marbles in the bags = 6(1 u + 7) = 6 u + 42
Total number of marbles
= 6 u + 4 u + 42
= 10 u + 42
10 u + 42 = 122
10 u = 122 - 42
10 u = 80
1 u = 80 ÷ 10 = 8
Number of marbles in each bag
= 1 u + 7
= 8 + 7
= 15
Answer(s): 15
