At first, Daniel had 104 more silver beads than black beads in a box. Each day, he took out 9 silver beads and 4 black beads from the box. After some time, he only had 56 black beads left in the box.
- How many beads did Daniel take out from the box altogether?
- How many black beads did Daniel have at first?
| |
Silver beads |
Black beads |
Comparing silver beads
and black beads at first |
104 more |
|
| Before |
9 u |
4 u + 56 |
| Change |
- 9 u |
- 4 u |
| After |
0 |
56 |
(a)
If another 104 black beads are added into the box at first, the number of silver and black beads will be the same.
9 u = 4 u + 56 + 104
9 u - 4 u = 56 + 104
5 u = 160
1 u = 160 ÷ 5 = 32
Number of beads that Daniel took out
= 9 u + 4 u
= 13 u
= 13 x 32
= 416
(b)
Number of beads that Daniel had at first
= 416 + 56
= 472
Answer(s): (a) 416; (b) 472
