Tiffany had a collection of 2040 brown, white and purple balls. After Tiffany gave away 250 brown balls, the number of brown balls was 150 fewer than the number of white balls. Given that the number of purple balls was thrice as many as the number of white balls, how many brown balls did Tiffany have at first?
| |
Brown balls |
White balls |
Purple balls |
Total |
| Before |
1 u + 250 |
1 u + 150 |
3 u + 450 |
2040 |
| Change |
- 250 |
|
|
|
| After |
1 u |
1 u + 150 |
3 u + 450 |
|
Number of purple balls in the end
= 3 x (1 u + 150)
= 3 u + 450
Total number of balls at first
= 1 u + 250 + 1 u + 150 + 3 u + 450
= 5 u + 850
5 u + 850 = 2040
5 u = 2040 - 850
5 u = 1190
1 u = 1190 ÷ 5 = 238
Number of brown balls that Tiffany had at first
= 1 u + 250
= 238 + 250
= 488
Answer(s): 488
