There was an equal number of black and grey beads in a packet at first. After 12 grey beads were taken out and 45 black beads were added into the packet, there was
14 as many grey beads as black beads. Find the number of grey beads in the packet at first.
| |
Black beads |
Grey beads |
| Before |
4 u - 45 |
1 u + 12 |
| Change |
+ 45 |
- 12 |
| After |
4 u |
1 u |
The number of black and grey beads in the packet is the same at first.
4 u - 45 = 1 u + 12
4 u - 1 u = 12 + 45
3 u = 57
1 u = 57 ÷ 3 = 19
Number of grey beads at first
= 1 u + 12
= 19 + 12
= 31
Answer(s)31
