At first, Xavier had 100 more grey beads than red beads in a box. Each day, he took out 8 grey beads and 3 red beads from the box. After some time, he only had 45 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?
| |
Grey beads |
Red beads |
Comparing grey beads
and red beads at first |
100 more |
|
| Before |
8 u |
3 u + 45 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
45 |
(a)
If another 100 red beads are added into the box at first, the number of grey and red beads will be the same.
8 u = 3 u + 45 + 100
8 u - 3 u = 45 + 100
5 u = 145
1 u = 145 ÷ 5 = 29
Number of beads that Xavier took out
= 8 u + 3 u
= 11 u
= 11 x 29
= 319
(b)
Number of beads that Xavier had at first
= 319 + 45
= 364
Answer(s): (a) 319; (b) 364
