Michael packed a total of 286 card games and board games into 22 boxes. The card games and board games were packed in separate boxes. Each box could hold either 18 card games or 7 board games only.
- How many board games were there in all?
- Nicole paid a total of $1412 for all the card games and board games. The cost of one board game is $14. 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 |
22
|
22 x 18 =
396 |
0
|
0
|
396
|
21
|
21 x 18 =
378 |
1
|
1 x 7 =
7 |
385
|
12
|
12 x 18 =
216 |
10
|
10 x 7 =
70 |
286
|
(a)
Total number of games if all are card games
= 18 x 22
= 396
Big difference between the number of boxes of card games and boxes of board games
= 396 - 286
= 110
Small difference between the number of 1 box of card games and 1 box of board games
= 18 - 7
= 11
Number of boxes of board games
= 110 ÷ 11
= 10
Total number of board games
= 10 x 7
= 70
(b)
Total cost of board games
= 70 x 14
= $980
Total cost of card games
= 1412 - 980
= $432
Answer(s): (a) 70; (b) $432
