Hazel had a collection of 2410 green, black and yellow balls. After Hazel gave away 300 green balls, the number of green balls was 240 fewer than the number of black balls. Given that the number of yellow balls was thrice as many as the number of black balls, how many green balls did Hazel have at first?
| |
Green balls |
Black balls |
Yellow balls |
Total |
| Before |
1 u + 300 |
1 u + 240 |
3 u + 720 |
2410 |
| Change |
- 300 |
|
|
|
| After |
1 u |
1 u + 240 |
3 u + 720 |
|
Number of yellow balls in the end
= 3 x (1 u + 240)
= 3 u + 720
Total number of balls at first
= 1 u + 300 + 1 u + 240 + 3 u + 720
= 5 u + 1260
5 u + 1260 = 2410
5 u = 2410 - 1260
5 u = 1150
1 u = 1150 ÷ 5 = 230
Number of green balls that Hazel had at first
= 1 u + 300
= 230 + 300
= 530
Answer(s): 530
