At first, Owen had 183 more green beads than purple beads in a box. Each day, he took out 9 green beads and 4 purple beads from the box. After some time, he only had 32 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?
| |
Green beads |
Purple beads |
Comparing green beads
and purple beads at first |
183 more |
|
| Before |
9 u |
4 u + 32 |
| Change |
- 9 u |
- 4 u |
| After |
0 |
32 |
(a)
If another 183 purple beads are added into the box at first, the number of green and purple beads will be the same.
9 u = 4 u + 32 + 183
9 u - 4 u = 32 + 183
5 u = 215
1 u = 215 ÷ 5 = 43
Number of beads that Owen took out
= 9 u + 4 u
= 13 u
= 13 x 43
= 559
(b)
Number of beads that Owen had at first
= 559 + 32
= 591
Answer(s): (a) 559; (b) 591
