At first, Archie had 140 more green beads than white beads in a box. Each day, he took out 10 green beads and 3 white beads from the box. After some time, he only had 14 white beads left in the box.
- How many beads did Archie take out from the box altogether?
- How many white beads did Archie have at first?
| |
Green beads |
White beads |
Comparing green beads
and white beads at first |
140 more |
|
| Before |
10 u |
3 u + 14 |
| Change |
- 10 u |
- 3 u |
| After |
0 |
14 |
(a)
If another 140 white beads are added into the box at first, the number of green and white beads will be the same.
10 u = 3 u + 14 + 140
10 u - 3 u = 14 + 140
7 u = 154
1 u = 154 ÷ 7 = 22
Number of beads that Archie took out
= 10 u + 3 u
= 13 u
= 13 x 22
= 286
(b)
Number of beads that Archie had at first
= 286 + 14
= 300
Answer(s): (a) 286; (b) 300
