At first, Luis had 108 more pink beads than red beads in a box. Each day, he took out 8 pink beads and 3 red beads from the box. After some time, he only had 32 red beads left in the box.
- How many beads did Luis take out from the box altogether?
- How many red beads did Luis have at first?
| |
Pink beads |
Red beads |
Comparing pink beads
and red beads at first |
108 more |
|
| Before |
8 u |
3 u + 32 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
32 |
(a)
If another 108 red beads are added into the box at first, the number of pink and red beads will be the same.
8 u = 3 u + 32 + 108
8 u - 3 u = 32 + 108
5 u = 140
1 u = 140 ÷ 5 = 28
Number of beads that Luis took out
= 8 u + 3 u
= 11 u
= 11 x 28
= 308
(b)
Number of beads that Luis had at first
= 308 + 32
= 340
Answer(s): (a) 308; (b) 340
