At first, Michael had 178 more black beads than green beads in a box. Each day, he took out 10 black beads and 2 green beads from the box. After some time, he only had 46 green beads left in the box.
- How many beads did Michael take out from the box altogether?
- How many green beads did Michael have at first?
| |
Black beads |
Green beads |
Comparing black beads
and green beads at first |
178 more |
|
| Before |
10 u |
2 u + 46 |
| Change |
- 10 u |
- 2 u |
| After |
0 |
46 |
(a)
If another 178 green beads are added into the box at first, the number of black and green beads will be the same.
10 u = 2 u + 46 + 178
10 u - 2 u = 46 + 178
8 u = 224
1 u = 224 ÷ 8 = 28
Number of beads that Michael took out
= 10 u + 2 u
= 12 u
= 12 x 28
= 336
(b)
Number of beads that Michael had at first
= 336 + 46
= 382
Answer(s): (a) 336; (b) 382
