Warren, Ian and Gabriel had 147 cards. After Warren used 11 cards and Ian used
14 of her cards, Warren had four times as many cards left as Ian. Gabriel bought another 18 cards, he had twice the number of cards Ian had left. How many cards did Gabriel have at first?
| |
Warren |
Ian |
Gabriel |
Total |
| Before |
12 u + 11 |
4 u |
6 u - 18 |
147 |
| Change |
- 11 |
- 1 u |
+ 18 |
|
| After |
12 u |
3 u |
6 u |
|
Comparing Warren
and Ian in the end |
4 |
1 |
|
|
Comparing Gabriel
and Ian in the end |
|
1 |
2 |
|
Number of cards that Warren had in the end
= 4 x 3 u
= 12 u
Number of cards that Gabriel had in the end
= 2 x 3 u
= 6 u
Total number of cards at first
= 12 u + 11 + 4 u + 6 u - 18
= 22 u - 7
22 u - 7 = 147
22 u = 147 + 7
22 u = 154
1 u = 154 ÷ 22 = 7
Number of cards that Gabriel had at first
= 6 u - 18
= 6 x 7 - 18
= 42 - 18
= 24
Answer(s): 24
