At first, Will had 150 more silver beads than blue beads in a box. Each day, he took out 10 silver beads and 2 blue beads from the box. After some time, he only had 50 blue beads left in the box.
- How many beads did Will take out from the box altogether?
- How many blue beads did Will have at first?
| |
Silver beads |
Blue beads |
Comparing silver beads
and blue beads at first |
150 more |
|
| Before |
10 u |
2 u + 50 |
| Change |
- 10 u |
- 2 u |
| After |
0 |
50 |
(a)
If another 150 blue beads are added into the box at first, the number of silver and blue beads will be the same.
10 u = 2 u + 50 + 150
10 u - 2 u = 50 + 150
8 u = 200
1 u = 200 ÷ 8 = 25
Number of beads that Will took out
= 10 u + 2 u
= 12 u
= 12 x 25
= 300
(b)
Number of beads that Will had at first
= 300 + 50
= 350
Answer(s): (a) 300; (b) 350
