Jane had a collection of 1650 green, silver and pink marbles. After Jane gave away 310 green marbles, the number of green marbles was 130 fewer than the number of silver marbles. Given that the number of pink marbles was four times as many as the number of silver marbles, how many green marbles did Jane have at first?
| |
Green marbles |
Silver marbles |
Pink marbles |
Total |
| Before |
1 u + 310 |
1 u + 130 |
4 u + 520 |
1650 |
| Change |
- 310 |
|
|
|
| After |
1 u |
1 u + 130 |
4 u + 520 |
|
Number of pink marbles in the end
= 4 x (1 u + 130)
= 4 u + 520
Total number of marbles at first
= 1 u + 310 + 1 u + 130 + 4 u + 520
= 6 u + 960
6 u + 960 = 1650
6 u = 1650 - 960
6 u = 690
1 u = 690 ÷ 6 = 115
Number of green marbles that Jane had at first
= 1 u + 310
= 115 + 310
= 425
Answer(s): 425
