At first, George had 124 more yellow beads than black beads in a box. Each day, he took out 8 yellow beads and 3 black beads from the box. After some time, he only had 36 black beads left in the box.
- How many beads did George take out from the box altogether?
- How many black beads did George have at first?
| |
Yellow beads |
Black beads |
Comparing yellow beads
and black beads at first |
124 more |
|
| Before |
8 u |
3 u + 36 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
36 |
(a)
If another 124 black beads are added into the box at first, the number of yellow and black beads will be the same.
8 u = 3 u + 36 + 124
8 u - 3 u = 36 + 124
5 u = 160
1 u = 160 ÷ 5 = 32
Number of beads that George took out
= 8 u + 3 u
= 11 u
= 11 x 32
= 352
(b)
Number of beads that George had at first
= 352 + 36
= 388
Answer(s): (a) 352; (b) 388
