There was an equal number of black and purple marbles in a packet at first. After 20 purple marbles were taken out and 46 black marbles were added into the packet, there was
14 as many purple marbles as black marbles. Find the number of purple marbles in the packet at first.
|
Black marbles |
Purple marbles |
Before |
4 u - 46 |
1 u + 20 |
Change |
+ 46 |
- 20 |
After |
4 u |
1 u |
The number of black and purple marbles in the packet is the same at first.
4 u - 46 = 1 u + 20
4 u - 1 u = 20 + 46
3 u = 66
1 u = 66 ÷ 3 = 22
Number of purple marbles at first
= 1 u + 20
= 22 + 20
= 42
Answer(s)42