At first, Fred had 155 more green beads than brown beads in a box. Each day, he took out 10 green beads and 2 brown beads from the box. After some time, he only had 29 brown beads left in the box.
- How many beads did Fred take out from the box altogether?
- How many brown beads did Fred have at first?
| |
Green beads |
Brown beads |
Comparing green beads
and brown beads at first |
155 more |
|
| Before |
10 u |
2 u + 29 |
| Change |
- 10 u |
- 2 u |
| After |
0 |
29 |
(a)
If another 155 brown beads are added into the box at first, the number of green and brown beads will be the same.
10 u = 2 u + 29 + 155
10 u - 2 u = 29 + 155
8 u = 184
1 u = 184 ÷ 8 = 23
Number of beads that Fred took out
= 10 u + 2 u
= 12 u
= 12 x 23
= 276
(b)
Number of beads that Fred had at first
= 276 + 29
= 305
Answer(s): (a) 276; (b) 305
