Shiyun had a collection of 1530 green, white and pink marbles. After Shiyun gave away 250 green marbles, the number of green marbles was 100 fewer than the number of white marbles. Given that the number of pink marbles was thrice as many as the number of white marbles, how many green marbles did Shiyun have at first?
| |
Green marbles |
White marbles |
Pink marbles |
Total |
| Before |
1 u + 250 |
1 u + 100 |
3 u + 300 |
1530 |
| Change |
- 250 |
|
|
|
| After |
1 u |
1 u + 100 |
3 u + 300 |
|
Number of pink marbles in the end
= 3 x (1 u + 100)
= 3 u + 300
Total number of marbles at first
= 1 u + 250 + 1 u + 100 + 3 u + 300
= 5 u + 650
5 u + 650 = 1530
5 u = 1530 - 650
5 u = 880
1 u = 880 ÷ 5 = 176
Number of green marbles that Shiyun had at first
= 1 u + 250
= 176 + 250
= 426
Answer(s): 426
