At first, Andy had 130 more red beads than blue beads in a box. Each day, he took out 9 red beads and 4 blue beads from the box. After some time, he only had 60 blue beads left in the box.
- How many beads did Andy take out from the box altogether?
- How many blue beads did Andy have at first?
| |
Red beads |
Blue beads |
Comparing red beads
and blue beads at first |
130 more |
|
| Before |
9 u |
4 u + 60 |
| Change |
- 9 u |
- 4 u |
| After |
0 |
60 |
(a)
If another 130 blue beads are added into the box at first, the number of red and blue beads will be the same.
9 u = 4 u + 60 + 130
9 u - 4 u = 60 + 130
5 u = 190
1 u = 190 ÷ 5 = 38
Number of beads that Andy took out
= 9 u + 4 u
= 13 u
= 13 x 38
= 494
(b)
Number of beads that Andy had at first
= 494 + 60
= 554
Answer(s): (a) 494; (b) 554
