At first, Sean had 116 more brown beads than grey beads in a box. Each day, he took out 9 brown beads and 5 grey beads from the box. After some time, he only had 12 grey beads left in the box.
- How many beads did Sean take out from the box altogether?
- How many grey beads did Sean have at first?
| |
Brown beads |
Grey beads |
Comparing brown beads
and grey beads at first |
116 more |
|
| Before |
9 u |
5 u + 12 |
| Change |
- 9 u |
- 5 u |
| After |
0 |
12 |
(a)
If another 116 grey beads are added into the box at first, the number of brown and grey beads will be the same.
9 u = 5 u + 12 + 116
9 u - 5 u = 12 + 116
4 u = 128
1 u = 128 ÷ 4 = 32
Number of beads that Sean took out
= 9 u + 5 u
= 14 u
= 14 x 32
= 448
(b)
Number of beads that Sean had at first
= 448 + 12
= 460
Answer(s): (a) 448; (b) 460
