At first, Bryan had 163 more blue beads than brown beads in a box. Each day, he took out 8 blue beads and 3 brown beads from the box. After some time, he only had 57 brown beads left in the box.
- How many beads did Bryan take out from the box altogether?
- How many brown beads did Bryan have at first?
| |
Blue beads |
Brown beads |
Comparing blue beads
and brown beads at first |
163 more |
|
| Before |
8 u |
3 u + 57 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
57 |
(a)
If another 163 brown beads are added into the box at first, the number of blue and brown beads will be the same.
8 u = 3 u + 57 + 163
8 u - 3 u = 57 + 163
5 u = 220
1 u = 220 ÷ 5 = 44
Number of beads that Bryan took out
= 8 u + 3 u
= 11 u
= 11 x 44
= 484
(b)
Number of beads that Bryan had at first
= 484 + 57
= 541
Answer(s): (a) 484; (b) 541
