At first, Valen had 110 more purple beads than yellow beads in a box. Each day, he took out 7 purple beads and 2 yellow beads from the box. After some time, he only had 45 yellow beads left in the box.
- How many beads did Valen take out from the box altogether?
- How many yellow beads did Valen have at first?
| |
Purple beads |
Yellow beads |
Comparing purple beads
and yellow beads at first |
110 more |
|
| Before |
7 u |
2 u + 45 |
| Change |
- 7 u |
- 2 u |
| After |
0 |
45 |
(a)
If another 110 yellow beads are added into the box at first, the number of purple and yellow beads will be the same.
7 u = 2 u + 45 + 110
7 u - 2 u = 45 + 110
5 u = 155
1 u = 155 ÷ 5 = 31
Number of beads that Valen took out
= 7 u + 2 u
= 9 u
= 9 x 31
= 279
(b)
Number of beads that Valen had at first
= 279 + 45
= 324
Answer(s): (a) 279; (b) 324
