Yoko had a collection of 2180 yellow, black and silver balls. After Yoko gave away 330 yellow balls, the number of yellow balls was 220 fewer than the number of black balls. Given that the number of silver balls was four times as many as the number of black balls, how many yellow balls did Yoko have at first?
|
Yellow balls |
Black balls |
Silver balls |
Total |
Before |
1 u + 330 |
1 u + 220 |
4 u + 880 |
2180 |
Change |
- 330 |
|
|
|
After |
1 u |
1 u + 220 |
4 u + 880 |
|
Number of silver balls in the end
= 4 x (1 u + 220)
= 4 u + 880
Total number of balls at first
= 1 u + 330 + 1 u + 220 + 4 u + 880
= 6 u + 1430
6 u + 1430 = 2180
6 u = 2180 - 1430
6 u = 750
1 u = 750 ÷ 6 = 125
Number of yellow balls that Yoko had at first
= 1 u + 330
= 125 + 330
= 455
Answer(s): 455