Cole packed a total of 267 card games and board games into 24 boxes. The card games and board games were packed in separate boxes. Each box could hold either 16 card games or 7 board games only.
- How many board games were there in all?
- Rachel paid a total of $1899 for all the card games and board games. The cost of one board game is $17. 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 |
24
|
24 x 16 =
384 |
0
|
0
|
384
|
23
|
23 x 16 =
368 |
1
|
1 x 7 =
7 |
375
|
11
|
11 x 16 =
176 |
13
|
13 x 7 =
91 |
267
|
(a)
Total number of games if all are card games
= 16 x 24
= 384
Big difference between the number of boxes of card games and boxes of board games
= 384 - 267
= 117
Small difference between the number of 1 box of card games and 1 box of board games
= 16 - 7
= 9
Number of boxes of board games
= 117 ÷ 9
= 13
Total number of board games
= 13 x 7
= 91
(b)
Total cost of board games
= 91 x 17
= $1547
Total cost of card games
= 1899 - 1547
= $352
Answer(s): (a) 91; (b) $352
