At first, Fabian had 160 more purple beads than green beads in a box. Each day, he took out 8 purple beads and 2 green beads from the box. After some time, he only had 50 green beads left in the box.
- How many beads did Fabian take out from the box altogether?
- How many green beads did Fabian have at first?
| |
Purple beads |
Green beads |
Comparing purple beads
and green beads at first |
160 more |
|
| Before |
8 u |
2 u + 50 |
| Change |
- 8 u |
- 2 u |
| After |
0 |
50 |
(a)
If another 160 green beads are added into the box at first, the number of purple and green beads will be the same.
8 u = 2 u + 50 + 160
8 u - 2 u = 50 + 160
6 u = 210
1 u = 210 ÷ 6 = 35
Number of beads that Fabian took out
= 8 u + 2 u
= 10 u
= 10 x 35
= 350
(b)
Number of beads that Fabian had at first
= 350 + 50
= 400
Answer(s): (a) 350; (b) 400
