At first, Perry had 103 more blue beads than purple beads in a box. Each day, he took out 8 blue beads and 4 purple beads from the box. After some time, he only had 25 purple beads left in the box.
- How many beads did Perry take out from the box altogether?
- How many purple beads did Perry have at first?
| |
Blue beads |
Purple beads |
Comparing blue beads
and purple beads at first |
103 more |
|
| Before |
8 u |
4 u + 25 |
| Change |
- 8 u |
- 4 u |
| After |
0 |
25 |
(a)
If another 103 purple beads are added into the box at first, the number of blue and purple beads will be the same.
8 u = 4 u + 25 + 103
8 u - 4 u = 25 + 103
4 u = 128
1 u = 128 ÷ 4 = 32
Number of beads that Perry took out
= 8 u + 4 u
= 12 u
= 12 x 32
= 384
(b)
Number of beads that Perry had at first
= 384 + 25
= 409
Answer(s): (a) 384; (b) 409
