Zeph, Will and Owen had 126 cards. After Zeph used 8 cards and Will used
17 of her cards, Zeph had four times as many cards left as Will. Owen bought another 11 cards, he had twice the number of cards Will had left. How many cards did Owen have at first?
| |
Zeph |
Will |
Owen |
Total |
| Before |
24 u + 8 |
7 u |
12 u - 11 |
126 |
| Change |
- 8 |
- 1 u |
+ 11 |
|
| After |
24 u |
6 u |
12 u |
|
Comparing Zeph
and Will in the end |
4 |
1 |
|
|
Comparing Owen
and Will in the end |
|
1 |
2 |
|
Number of cards that Zeph had in the end
= 4 x 6 u
= 24 u
Number of cards that Owen had in the end
= 2 x 6 u
= 12 u
Total number of cards at first
= 24 u + 8 + 7 u + 12 u - 11
= 43 u - 3
43 u - 3 = 126
43 u = 126 + 3
43 u = 129
1 u = 129 ÷ 43 = 3
Number of cards that Owen had at first
= 12 u - 11
= 12 x 3 - 11
= 36 - 11
= 25
Answer(s): 25
