At first, Archie had 187 more green beads than pink beads in a box. Each day, he took out 7 green beads and 2 pink beads from the box. After some time, he only had 18 pink beads left in the box.
- How many beads did Archie take out from the box altogether?
- How many pink beads did Archie have at first?
|
Green beads |
Pink beads |
Comparing green beads and pink beads at first |
187 more |
|
Before |
7 u |
2 u + 18 |
Change |
- 7 u |
- 2 u |
After |
0 |
18 |
(a)
If another 187 pink beads are added into the box at first, the number of green and pink beads will be the same.
7 u = 2 u + 18 + 187
7 u - 2 u = 18 + 187
5 u = 205
1 u = 205 ÷ 5 = 41
Number of beads that Archie took out
= 7 u + 2 u
= 9 u
= 9 x 41
= 369
(b)
Number of beads that Archie had at first
= 369 + 18
= 387
Answer(s): (a) 369; (b) 387