At first, Paul had 126 more brown beads than purple beads in a box. Each day, he took out 8 brown beads and 3 purple beads from the box. After some time, he only had 29 purple beads left in the box.
- How many beads did Paul take out from the box altogether?
- How many purple beads did Paul have at first?
| |
Brown beads |
Purple beads |
Comparing brown beads
and purple beads at first |
126 more |
|
| Before |
8 u |
3 u + 29 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
29 |
(a)
If another 126 purple beads are added into the box at first, the number of brown and purple beads will be the same.
8 u = 3 u + 29 + 126
8 u - 3 u = 29 + 126
5 u = 155
1 u = 155 ÷ 5 = 31
Number of beads that Paul took out
= 8 u + 3 u
= 11 u
= 11 x 31
= 341
(b)
Number of beads that Paul had at first
= 341 + 29
= 370
Answer(s): (a) 341; (b) 370
