There was an equal number of silver and purple marbles in a bag at first. After 27 purple marbles were taken out and 33 silver marbles were added into the bag, there was
14 as many purple marbles as silver marbles. Find the number of purple marbles in the bag at first.
| |
Silver marbles |
Purple marbles |
| Before |
4 u - 33 |
1 u + 27 |
| Change |
+ 33 |
- 27 |
| After |
4 u |
1 u |
The number of silver and purple marbles in the bag is the same at first.
4 u - 33 = 1 u + 27
4 u - 1 u = 27 + 33
3 u = 60
1 u = 60 ÷ 3 = 20
Number of purple marbles at first
= 1 u + 27
= 20 + 27
= 47
Answer(s)47
