Yoko had the same number of green, yellow and pink cards at first. After giving some green and yellow cards and 59 pink cards away, Yoko had 177 cards left. There were 3 times as many green cards as yellow cards left. The number of pink cards left was 40 fewer than the number of green cards left. How many pink cards did she have at first?
| |
Yellow |
Green |
Pink |
Total |
| Before |
3 u + 19 |
3 u + 19 |
3 u + 19 |
|
| Change |
- 2 u - 19 |
- 19 |
- 59 |
|
| After |
1 u |
3 u |
3 u - 40 |
177 |
Yoko had the same number of green, yellow and pink cards at first.
Total number of cards in the end
= 1 u + 3 u + 3 u - 40
= 7 u - 40
7 u - 40 = 177
7 u = 177 + 40
7 u = 217
1 u = 217 ÷ 7 = 31
Number of pink cards that Yoko had at first
= 3 u - 40 + 59
= 3 u + 19
= 3 x 31 + 19
= 112
Answer(s): 112
