At first, Reggie had 107 more black beads than gold beads in a box. Each day, he took out 8 black beads and 5 gold beads from the box. After some time, he only had 43 gold beads left in the box.
- How many beads did Reggie take out from the box altogether?
- How many gold beads did Reggie have at first?
| |
Black beads |
Gold beads |
Comparing black beads
and gold beads at first |
107 more |
|
| Before |
8 u |
5 u + 43 |
| Change |
- 8 u |
- 5 u |
| After |
0 |
43 |
(a)
If another 107 gold beads are added into the box at first, the number of black and gold beads will be the same.
8 u = 5 u + 43 + 107
8 u - 5 u = 43 + 107
3 u = 150
1 u = 150 ÷ 3 = 50
Number of beads that Reggie took out
= 8 u + 5 u
= 13 u
= 13 x 50
= 650
(b)
Number of beads that Reggie had at first
= 650 + 43
= 693
Answer(s): (a) 650; (b) 693
