At first, Pierre had 192 more brown beads than yellow beads in a box. Each day, he took out 8 brown beads and 3 yellow beads from the box. After some time, he only had 13 yellow beads left in the box.
- How many beads did Pierre take out from the box altogether?
- How many yellow beads did Pierre have at first?
| |
Brown beads |
Yellow beads |
Comparing brown beads
and yellow beads at first |
192 more |
|
| Before |
8 u |
3 u + 13 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
13 |
(a)
If another 192 yellow beads are added into the box at first, the number of brown and yellow beads will be the same.
8 u = 3 u + 13 + 192
8 u - 3 u = 13 + 192
5 u = 205
1 u = 205 ÷ 5 = 41
Number of beads that Pierre took out
= 8 u + 3 u
= 11 u
= 11 x 41
= 451
(b)
Number of beads that Pierre had at first
= 451 + 13
= 464
Answer(s): (a) 451; (b) 464
