At first, Luke had 182 more brown beads than white beads in a box. Each day, he took out 8 brown beads and 2 white beads from the box. After some time, he only had 34 white beads left in the box.
- How many beads did Luke take out from the box altogether?
- How many white beads did Luke have at first?
| |
Brown beads |
White beads |
Comparing brown beads
and white beads at first |
182 more |
|
| Before |
8 u |
2 u + 34 |
| Change |
- 8 u |
- 2 u |
| After |
0 |
34 |
(a)
If another 182 white beads are added into the box at first, the number of brown and white beads will be the same.
8 u = 2 u + 34 + 182
8 u - 2 u = 34 + 182
6 u = 216
1 u = 216 ÷ 6 = 36
Number of beads that Luke took out
= 8 u + 2 u
= 10 u
= 10 x 36
= 360
(b)
Number of beads that Luke had at first
= 360 + 34
= 394
Answer(s): (a) 360; (b) 394
