At first, Ivan had 126 more green beads than purple beads in a box. Each day, he took out 7 green beads and 2 purple beads from the box. After some time, he only had 34 purple beads left in the box.
- How many beads did Ivan take out from the box altogether?
- How many purple beads did Ivan have at first?
| |
Green beads |
Purple beads |
Comparing green beads
and purple beads at first |
126 more |
|
| Before |
7 u |
2 u + 34 |
| Change |
- 7 u |
- 2 u |
| After |
0 |
34 |
(a)
If another 126 purple beads are added into the box at first, the number of green and purple beads will be the same.
7 u = 2 u + 34 + 126
7 u - 2 u = 34 + 126
5 u = 160
1 u = 160 ÷ 5 = 32
Number of beads that Ivan took out
= 7 u + 2 u
= 9 u
= 9 x 32
= 288
(b)
Number of beads that Ivan had at first
= 288 + 34
= 322
Answer(s): (a) 288; (b) 322
