Nicole had a collection of 1850 white, brown and blue balls. After Nicole gave away 220 white balls, the number of white balls was 170 fewer than the number of brown balls. Given that the number of blue balls was four times as many as the number of brown balls, how many white balls did Nicole have at first?
| |
White balls |
Brown balls |
Blue balls |
Total |
| Before |
1 u + 220 |
1 u + 170 |
4 u + 680 |
1850 |
| Change |
- 220 |
|
|
|
| After |
1 u |
1 u + 170 |
4 u + 680 |
|
Number of blue balls in the end
= 4 x (1 u + 170)
= 4 u + 680
Total number of balls at first
= 1 u + 220 + 1 u + 170 + 4 u + 680
= 6 u + 1070
6 u + 1070 = 1850
6 u = 1850 - 1070
6 u = 780
1 u = 780 ÷ 6 = 130
Number of white balls that Nicole had at first
= 1 u + 220
= 130 + 220
= 350
Answer(s): 350
