At first, Jenson had 183 more purple beads than yellow beads in a box. Each day, he took out 7 purple beads and 2 yellow beads from the box. After some time, he only had 57 yellow beads left in the box.
- How many beads did Jenson take out from the box altogether?
- How many yellow beads did Jenson have at first?
| |
Purple beads |
Yellow beads |
Comparing purple beads
and yellow beads at first |
183 more |
|
| Before |
7 u |
2 u + 57 |
| Change |
- 7 u |
- 2 u |
| After |
0 |
57 |
(a)
If another 183 yellow beads are added into the box at first, the number of purple and yellow beads will be the same.
7 u = 2 u + 57 + 183
7 u - 2 u = 57 + 183
5 u = 240
1 u = 240 ÷ 5 = 48
Number of beads that Jenson took out
= 7 u + 2 u
= 9 u
= 9 x 48
= 432
(b)
Number of beads that Jenson had at first
= 432 + 57
= 489
Answer(s): (a) 432; (b) 489
