Fanny had a collection of 2400 pink, green and silver marbles. After Fanny gave away 240 pink marbles, the number of pink marbles was 190 fewer than the number of green marbles. Given that the number of silver marbles was thrice as many as the number of green marbles, how many pink marbles did Fanny have at first?
| |
Pink marbles |
Green marbles |
Silver marbles |
Total |
| Before |
1 u + 240 |
1 u + 190 |
3 u + 570 |
2400 |
| Change |
- 240 |
|
|
|
| After |
1 u |
1 u + 190 |
3 u + 570 |
|
Number of silver marbles in the end
= 3 x (1 u + 190)
= 3 u + 570
Total number of marbles at first
= 1 u + 240 + 1 u + 190 + 3 u + 570
= 5 u + 1000
5 u + 1000 = 2400
5 u = 2400 - 1000
5 u = 1400
1 u = 1400 ÷ 5 = 280
Number of pink marbles that Fanny had at first
= 1 u + 240
= 280 + 240
= 520
Answer(s): 520
