At first, Ahmad had 105 more gold beads than yellow beads in a box. Each day, he took out 8 gold beads and 2 yellow beads from the box. After some time, he only had 33 yellow beads left in the box.
- How many beads did Ahmad take out from the box altogether?
- How many yellow beads did Ahmad have at first?
| |
Gold beads |
Yellow beads |
Comparing gold beads
and yellow beads at first |
105 more |
|
| Before |
8 u |
2 u + 33 |
| Change |
- 8 u |
- 2 u |
| After |
0 |
33 |
(a)
If another 105 yellow beads are added into the box at first, the number of gold and yellow beads will be the same.
8 u = 2 u + 33 + 105
8 u - 2 u = 33 + 105
6 u = 138
1 u = 138 ÷ 6 = 23
Number of beads that Ahmad took out
= 8 u + 2 u
= 10 u
= 10 x 23
= 230
(b)
Number of beads that Ahmad had at first
= 230 + 33
= 263
Answer(s): (a) 230; (b) 263
