Brandon, Caden and John had 126 cards. After Brandon used 11 cards and Caden used
13 of her cards, Brandon had twice as many cards left as Caden. John bought another 20 cards, he had four times the number of cards Caden had left. How many cards did John have at first?
| |
Brandon |
Caden |
John |
Total |
| Before |
4 u + 11 |
3 u |
8 u - 20 |
126 |
| Change |
- 11 |
- 1 u |
+ 20 |
|
| After |
4 u |
2 u |
8 u |
|
Comparing Brandon
and Caden in the end |
2 |
1 |
|
|
Comparing John
and Caden in the end |
|
1 |
4 |
|
Number of cards that Brandon had in the end
= 2 x 2 u
= 4 u
Number of cards that John had in the end
= 4 x 2 u
= 8 u
Total number of cards at first
= 4 u + 11 + 3 u + 8 u - 20
= 15 u - 9
15 u - 9 = 126
15 u = 126 + 9
15 u = 135
1 u = 135 ÷ 15 = 9
Number of cards that John had at first
= 8 u - 20
= 8 x 9 - 20
= 72 - 20
= 52
Answer(s): 52
