Jane had a collection of 2230 purple, pink and grey balls. After Jane gave away 210 purple balls, the number of purple balls was 140 fewer than the number of pink balls. Given that the number of grey balls was four times as many as the number of pink balls, how many purple balls did Jane have at first?
| |
Purple balls |
Pink balls |
Grey balls |
Total |
| Before |
1 u + 210 |
1 u + 140 |
4 u + 560 |
2230 |
| Change |
- 210 |
|
|
|
| After |
1 u |
1 u + 140 |
4 u + 560 |
|
Number of grey balls in the end
= 4 x (1 u + 140)
= 4 u + 560
Total number of balls at first
= 1 u + 210 + 1 u + 140 + 4 u + 560
= 6 u + 910
6 u + 910 = 2230
6 u = 2230 - 910
6 u = 1320
1 u = 1320 ÷ 6 = 220
Number of purple balls that Jane had at first
= 1 u + 210
= 220 + 210
= 430
Answer(s): 430
