Dylan packed a total of 254 card games and board games into 22 boxes. The card games and board games were packed in separate boxes. Each box could hold either 17 card games or 7 board games only.
- How many board games were there in all?
- Lucy paid a total of $2026 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 17 =
374 |
0
|
0
|
374
|
21
|
21 x 17 =
357 |
1
|
1 x 7 =
7 |
364
|
10
|
10 x 17 =
170 |
12
|
12 x 7 =
84 |
254
|
(a)
Total number of games if all are card games
= 17 x 22
= 374
Big difference between the number of boxes of card games and boxes of board games
= 374 - 254
= 120
Small difference between the number of 1 box of card games and 1 box of board games
= 17 - 7
= 10
Number of boxes of board games
= 120 ÷ 10
= 12
Total number of board games
= 12 x 7
= 84
(b)
Total cost of board games
= 84 x 14
= $1176
Total cost of card games
= 2026 - 1176
= $850
Answer(s): (a) 84; (b) $850
