At first, Pierre had 111 more yellow beads than purple beads in a box. Each day, he took out 8 yellow beads and 4 purple beads from the box. After some time, he only had 37 purple beads left in the box.
- How many beads did Pierre take out from the box altogether?
- How many purple beads did Pierre have at first?
| |
Yellow beads |
Purple beads |
Comparing yellow beads
and purple beads at first |
111 more |
|
| Before |
8 u |
4 u + 37 |
| Change |
- 8 u |
- 4 u |
| After |
0 |
37 |
(a)
If another 111 purple beads are added into the box at first, the number of yellow and purple beads will be the same.
8 u = 4 u + 37 + 111
8 u - 4 u = 37 + 111
4 u = 148
1 u = 148 ÷ 4 = 37
Number of beads that Pierre took out
= 8 u + 4 u
= 12 u
= 12 x 37
= 444
(b)
Number of beads that Pierre had at first
= 444 + 37
= 481
Answer(s): (a) 444; (b) 481
