Natalie had the same number of pink, white and grey coins at first. After giving some pink and white coins and 41 grey coins away, Natalie had 212 coins left. There were 4 times as many pink coins as white coins left. The number of grey coins left was 22 fewer than the number of pink coins left. How many grey coins did she have at first?
| |
White |
Pink |
Grey |
Total |
| Before |
4 u + 19 |
4 u + 19 |
4 u + 19 |
|
| Change |
- 3 u - 19 |
- 19 |
- 41 |
|
| After |
1 u |
4 u |
4 u - 22 |
212 |
Natalie had the same number of pink, white and grey coins at first.
Total number of coins in the end
= 1 u + 4 u + 4 u - 22
= 9 u - 22
9 u - 22 = 212
9 u = 212 + 22
9 u = 234
1 u = 234 ÷ 9 = 26
Number of grey coins that Natalie had at first
= 4 u - 22 + 41
= 4 u + 19
= 4 x 26 + 19
= 123
Answer(s): 123
