At first, Pierre had 137 more purple beads than yellow beads in a box. Each day, he took out 6 purple beads and 2 yellow beads from the box. After some time, he only had 19 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?
| |
Purple beads |
Yellow beads |
Comparing purple beads
and yellow beads at first |
137 more |
|
| Before |
6 u |
2 u + 19 |
| Change |
- 6 u |
- 2 u |
| After |
0 |
19 |
(a)
If another 137 yellow beads are added into the box at first, the number of purple and yellow beads will be the same.
6 u = 2 u + 19 + 137
6 u - 2 u = 19 + 137
4 u = 156
1 u = 156 ÷ 4 = 39
Number of beads that Pierre took out
= 6 u + 2 u
= 8 u
= 8 x 39
= 312
(b)
Number of beads that Pierre had at first
= 312 + 19
= 331
Answer(s): (a) 312; (b) 331
