At first, Paul had 131 more blue beads than brown beads in a box. Each day, he took out 5 blue beads and 2 brown beads from the box. After some time, he only had 19 brown beads left in the box.
- How many beads did Paul take out from the box altogether?
- How many brown beads did Paul have at first?
|
Blue beads |
Brown beads |
Comparing blue beads and brown beads at first |
131 more |
|
Before |
5 u |
2 u + 19 |
Change |
- 5 u |
- 2 u |
After |
0 |
19 |
(a)
If another 131 brown beads are added into the box at first, the number of blue and brown beads will be the same.
5 u = 2 u + 19 + 131
5 u - 2 u = 19 + 131
3 u = 150
1 u = 150 ÷ 3 = 50
Number of beads that Paul took out
= 5 u + 2 u
= 7 u
= 7 x 50
= 350
(b)
Number of beads that Paul had at first
= 350 + 19
= 369
Answer(s): (a) 350; (b) 369