Ethan packed a total of 206 card games and board games into 25 boxes. The card games and board games were packed in separate boxes. Each box could hold either 13 card games or 6 board games only.
- How many board games were there in all?
- Jen paid a total of $2456 for all the card games and board games. The cost of one board game is $20. Find the total cost of the card games.
Boxes of
card games |
Number of
card games |
Boxes of
board games |
Number of
board games |
Total number
of games |
25
|
25 x 13 =
325 |
0
|
0
|
325
|
24
|
24 x 13 =
312 |
1
|
1 x 6 =
6 |
318
|
8
|
8 x 13 =
104 |
17
|
17 x 6 =
102 |
206
|
(a)
Total number of games if all are card games
= 13 x 25
= 325
Big difference between the number of boxes of card games and boxes of board games
= 325 - 206
= 119
Small difference between the number of 1 box of card games and 1 box of board games
= 13 - 6
= 7
Number of boxes of board games
= 119 ÷ 7
= 17
Total number of board games
= 17 x 6
= 102
(b)
Total cost of board games
= 102 x 20
= $2040
Total cost of card games
= 2456 - 2040
= $416
Answer(s): (a) 102; (b) $416
