At first, Jenson had 181 more grey beads than gold beads in a box. Each day, he took out 7 grey beads and 2 gold beads from the box. After some time, he only had 49 gold beads left in the box.
- How many beads did Jenson take out from the box altogether?
- How many gold beads did Jenson have at first?
| |
Grey beads |
Gold beads |
Comparing grey beads
and gold beads at first |
181 more |
|
| Before |
7 u |
2 u + 49 |
| Change |
- 7 u |
- 2 u |
| After |
0 |
49 |
(a)
If another 181 gold beads are added into the box at first, the number of grey and gold beads will be the same.
7 u = 2 u + 49 + 181
7 u - 2 u = 49 + 181
5 u = 230
1 u = 230 ÷ 5 = 46
Number of beads that Jenson took out
= 7 u + 2 u
= 9 u
= 9 x 46
= 414
(b)
Number of beads that Jenson had at first
= 414 + 49
= 463
Answer(s): (a) 414; (b) 463
