Tommy, Lee and John had 189 cards. After Tommy used 24 cards and Lee used
14 of her cards, Tommy had twice as many cards left as Lee. John bought another 33 cards, he had four times the number of cards Lee had left. How many cards did John have at first?
| |
Tommy |
Lee |
John |
Total |
| Before |
6 u + 24 |
4 u |
12 u - 33 |
189 |
| Change |
- 24 |
- 1 u |
+ 33 |
|
| After |
6 u |
3 u |
12 u |
|
Comparing Tommy
and Lee in the end |
2 |
1 |
|
|
Comparing John
and Lee in the end |
|
1 |
4 |
|
Number of cards that Tommy had in the end
= 2 x 3 u
= 6 u
Number of cards that John had in the end
= 4 x 3 u
= 12 u
Total number of cards at first
= 6 u + 24 + 4 u + 12 u - 33
= 22 u - 9
22 u - 9 = 189
22 u = 189 + 9
22 u = 198
1 u = 198 ÷ 22 = 9
Number of cards that John had at first
= 12 u - 33
= 12 x 9 - 33
= 108 - 33
= 75
Answer(s): 75
