At first, Xavier had 141 more white beads than red beads in a box. Each day, he took out 6 white beads and 2 red beads from the box. After some time, he only had 55 red beads left in the box.
- How many beads did Xavier take out from the box altogether?
- How many red beads did Xavier have at first?
| |
White beads |
Red beads |
Comparing white beads
and red beads at first |
141 more |
|
| Before |
6 u |
2 u + 55 |
| Change |
- 6 u |
- 2 u |
| After |
0 |
55 |
(a)
If another 141 red beads are added into the box at first, the number of white and red beads will be the same.
6 u = 2 u + 55 + 141
6 u - 2 u = 55 + 141
4 u = 196
1 u = 196 ÷ 4 = 49
Number of beads that Xavier took out
= 6 u + 2 u
= 8 u
= 8 x 49
= 392
(b)
Number of beads that Xavier had at first
= 392 + 55
= 447
Answer(s): (a) 392; (b) 447
