Victoria had the same number of green, silver and gold coins at first. After giving some green and silver coins and 64 gold coins away, Victoria had 184 coins left. There were 3 times as many green coins as silver coins left. The number of gold coins left was 12 fewer than the number of green coins left. How many gold coins did she have at first?
| |
Silver |
Green |
Gold |
Total |
| Before |
3 u + 52 |
3 u + 52 |
3 u + 52 |
|
| Change |
- 2 u - 52 |
- 52 |
- 64 |
|
| After |
1 u |
3 u |
3 u - 12 |
184 |
Victoria had the same number of green, silver and gold coins at first.
Total number of coins in the end
= 1 u + 3 u + 3 u - 12
= 7 u - 12
7 u - 12 = 184
7 u = 184 + 12
7 u = 196
1 u = 196 ÷ 7 = 28
Number of gold coins that Victoria had at first
= 3 u - 12 + 64
= 3 u + 52
= 3 x 28 + 52
= 136
Answer(s): 136
