At first, Vincent had 116 more purple beads than gold beads in a box. Each day, he took out 8 purple beads and 3 gold beads from the box. After some time, he only had 29 gold beads left in the box.
- How many beads did Vincent take out from the box altogether?
- How many gold beads did Vincent have at first?
| |
Purple beads |
Gold beads |
Comparing purple beads
and gold beads at first |
116 more |
|
| Before |
8 u |
3 u + 29 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
29 |
(a)
If another 116 gold beads are added into the box at first, the number of purple and gold beads will be the same.
8 u = 3 u + 29 + 116
8 u - 3 u = 29 + 116
5 u = 145
1 u = 145 ÷ 5 = 29
Number of beads that Vincent took out
= 8 u + 3 u
= 11 u
= 11 x 29
= 319
(b)
Number of beads that Vincent had at first
= 319 + 29
= 348
Answer(s): (a) 319; (b) 348
