At first, Howard had 169 more blue beads than pink beads in a box. Each day, he took out 7 blue beads and 2 pink beads from the box. After some time, he only had 46 pink beads left in the box.
- How many beads did Howard take out from the box altogether?
- How many pink beads did Howard have at first?
| |
Blue beads |
Pink beads |
Comparing blue beads
and pink beads at first |
169 more |
|
| Before |
7 u |
2 u + 46 |
| Change |
- 7 u |
- 2 u |
| After |
0 |
46 |
(a)
If another 169 pink beads are added into the box at first, the number of blue and pink beads will be the same.
7 u = 2 u + 46 + 169
7 u - 2 u = 46 + 169
5 u = 215
1 u = 215 ÷ 5 = 43
Number of beads that Howard took out
= 7 u + 2 u
= 9 u
= 9 x 43
= 387
(b)
Number of beads that Howard had at first
= 387 + 46
= 433
Answer(s): (a) 387; (b) 433
