Paul, Andy and Dylan had 448 cards. After Paul used 32 cards and Andy used
18 of her cards, Paul had thrice as many cards left as Andy. Dylan bought another 40 cards, he had four times the number of cards Andy had left. How many cards did Dylan have at first?
| |
Paul |
Andy |
Dylan |
Total |
| Before |
21 u + 32 |
8 u |
28 u - 40 |
448 |
| Change |
- 32 |
- 1 u |
+ 40 |
|
| After |
21 u |
7 u |
28 u |
|
Comparing Paul
and Andy in the end |
3 |
1 |
|
|
Comparing Dylan
and Andy in the end |
|
1 |
4 |
|
Number of cards that Paul had in the end
= 3 x 7 u
= 21 u
Number of cards that Dylan had in the end
= 4 x 7 u
= 28 u
Total number of cards at first
= 21 u + 32 + 8 u + 28 u - 40
= 57 u - 8
57 u - 8 = 448
57 u = 448 + 8
57 u = 456
1 u = 456 ÷ 57 = 8
Number of cards that Dylan had at first
= 28 u - 40
= 28 x 8 - 40
= 224 - 40
= 184
Answer(s): 184
