The ratio of the number of green beads to blue beads is 8 : 3. After Pierre gives away 10 green beads and buys another 30 blue beads, there is equal number of green beads and blue beads. How many beads does Pierre have now?
| |
Green |
Blue |
| Before |
8 u |
3 u |
| Change |
- 10 |
+ 30 |
| After |
8 u - 10 |
3 u + 30 |
The number of green beads and blue beads in the end is the same.
8 u - 10 = 3 u + 30
8 u - 3 u = 30 + 10
5 u = 40
1 u = 40 ÷ 5 = 8
Number of beads that Pierre has now
= 8 u - 10 + 3 u + 30
= 8 u + 3 u - 10 + 30
= 11 u + 20
= 11 x 8 + 20
= 88 + 20
= 108
Answer(s): 108
