At first, Xavier had 123 more brown beads than pink beads in a box. Each day, he took out 8 brown beads and 4 pink beads from the box. After some time, he only had 41 pink beads left in the box.
- How many beads did Xavier take out from the box altogether?
- How many pink beads did Xavier have at first?
| |
Brown beads |
Pink beads |
Comparing brown beads
and pink beads at first |
123 more |
|
| Before |
8 u |
4 u + 41 |
| Change |
- 8 u |
- 4 u |
| After |
0 |
41 |
(a)
If another 123 pink beads are added into the box at first, the number of brown and pink beads will be the same.
8 u = 4 u + 41 + 123
8 u - 4 u = 41 + 123
4 u = 164
1 u = 164 ÷ 4 = 41
Number of beads that Xavier took out
= 8 u + 4 u
= 12 u
= 12 x 41
= 492
(b)
Number of beads that Xavier had at first
= 492 + 41
= 533
Answer(s): (a) 492; (b) 533
