At first, Oliver had 149 more red beads than white beads in a box. Each day, he took out 10 red beads and 3 white beads from the box. After some time, he only had 33 white beads left in the box.
- How many beads did Oliver take out from the box altogether?
- How many white beads did Oliver have at first?
| |
Red beads |
White beads |
Comparing red beads
and white beads at first |
149 more |
|
| Before |
10 u |
3 u + 33 |
| Change |
- 10 u |
- 3 u |
| After |
0 |
33 |
(a)
If another 149 white beads are added into the box at first, the number of red and white beads will be the same.
10 u = 3 u + 33 + 149
10 u - 3 u = 33 + 149
7 u = 182
1 u = 182 ÷ 7 = 26
Number of beads that Oliver took out
= 10 u + 3 u
= 13 u
= 13 x 26
= 338
(b)
Number of beads that Oliver had at first
= 338 + 33
= 371
Answer(s): (a) 338; (b) 371
