At first, Sean had 190 more black beads than green beads in a box. Each day, he took out 8 black beads and 3 green beads from the box. After some time, he only had 15 green beads left in the box.
- How many beads did Sean take out from the box altogether?
- How many green beads did Sean have at first?
|
Black beads |
Green beads |
Comparing black beads and green beads at first |
190 more |
|
Before |
8 u |
3 u + 15 |
Change |
- 8 u |
- 3 u |
After |
0 |
15 |
(a)
If another 190 green beads are added into the box at first, the number of black and green beads will be the same.
8 u = 3 u + 15 + 190
8 u - 3 u = 15 + 190
5 u = 205
1 u = 205 ÷ 5 = 41
Number of beads that Sean took out
= 8 u + 3 u
= 11 u
= 11 x 41
= 451
(b)
Number of beads that Sean had at first
= 451 + 15
= 466
Answer(s): (a) 451; (b) 466