Bobby has 4 boxes and 6 bags of cards. He has a total of 200 cards. Each bag contains 5 more cards than each box. How many cards are there in each bag?
| |
Boxes |
Bags |
Total |
| Number |
4 |
6 |
|
| Value |
1 u |
1 u + 5 |
|
| Total value |
4 u |
6 u + 30 |
10 u + 30 |
Number of cards in each box = 1 u
Number of cards in each bag = 1 u + 5
Total number of cards in the boxes = 4 x 1 u = 4 u
Total number of cards in the bags = 6(1 u + 5) = 6 u + 30
Total number of cards
= 6 u + 4 u + 30
= 10 u + 30
10 u + 30 = 200
10 u = 200 - 30
10 u = 170
1 u = 170 ÷ 10 = 17
Number of cards in each bag
= 1 u + 5
= 17 + 5
= 22
Answer(s): 22
