At first, Owen had 172 more blue beads than purple beads in a box. Each day, he took out 9 blue beads and 3 purple beads from the box. After some time, he only had 26 purple beads left in the box.
- How many beads did Owen take out from the box altogether?
- How many purple beads did Owen have at first?
| |
Blue beads |
Purple beads |
Comparing blue beads
and purple beads at first |
172 more |
|
| Before |
9 u |
3 u + 26 |
| Change |
- 9 u |
- 3 u |
| After |
0 |
26 |
(a)
If another 172 purple beads are added into the box at first, the number of blue and purple beads will be the same.
9 u = 3 u + 26 + 172
9 u - 3 u = 26 + 172
6 u = 198
1 u = 198 ÷ 6 = 33
Number of beads that Owen took out
= 9 u + 3 u
= 12 u
= 12 x 33
= 396
(b)
Number of beads that Owen had at first
= 396 + 26
= 422
Answer(s): (a) 396; (b) 422
