Julie had the same number of blue, purple and pink marbles at first. After giving some blue and purple marbles and 69 pink marbles away, Julie had 231 marbles left. There were 3 times as many blue marbles as purple marbles left. The number of pink marbles left was 42 fewer than the number of blue marbles left. How many pink marbles did she have at first?
| |
Purple |
Blue |
Pink |
Total |
| Before |
3 u + 27 |
3 u + 27 |
3 u + 27 |
|
| Change |
- 2 u - 27 |
- 27 |
- 69 |
|
| After |
1 u |
3 u |
3 u - 42 |
231 |
Julie had the same number of blue, purple and pink marbles at first.
Total number of marbles in the end
= 1 u + 3 u + 3 u - 42
= 7 u - 42
7 u - 42 = 231
7 u = 231 + 42
7 u = 273
1 u = 273 ÷ 7 = 39
Number of pink marbles that Julie had at first
= 3 u - 42 + 69
= 3 u + 27
= 3 x 39 + 27
= 144
Answer(s): 144
