George had
29 as many cards as Rachel. After George bought another 111 cards, he had 15 less cards than Rachel. How many cards did George have at first?
| |
George |
Rachel |
| Before |
2 u |
9 u |
| Change |
+ 111 |
|
| After |
2 u + 111 |
9 u |
Rachel had 15 more cards than George in the end. So, if George had another 15 cards, he would have the same number of cards as Rachel.
9 u = 2 u + 111 + 15
9 u - 2 u = 111 + 15
7 u = 126
1 u = 126 ÷ 7 = 18
Number of cards that George had at first
= 2 u
= 2 x 18
= 36
Answer: 36
