Cindy had the same number of yellow, brown and red cards at first. After giving some yellow and brown cards and 72 red cards away, Cindy had 242 cards left. There were 2 times as many yellow cards as brown cards left. The number of red cards left was 18 fewer than the number of yellow cards left. How many red cards did she have at first?
| |
Brown |
Yellow |
Red |
Total |
| Before |
2 u + 54 |
2 u + 54 |
2 u + 54 |
|
| Change |
- 1 u - 54 |
- 54 |
- 72 |
|
| After |
1 u |
2 u |
2 u - 18 |
242 |
Cindy had the same number of yellow, brown and red cards at first.
Total number of cards in the end
= 1 u + 2 u + 2 u - 18
= 5 u - 18
5 u - 18 = 242
5 u = 242 + 18
5 u = 260
1 u = 260 ÷ 5 = 52
Number of red cards that Cindy had at first
= 2 u - 18 + 72
= 2 u + 54
= 2 x 52 + 54
= 158
Answer(s): 158
