At first, Valen had 110 more red beads than yellow beads in a box. Each day, he took out 10 red beads and 4 yellow beads from the box. After some time, he only had 22 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?
|
Red beads |
Yellow beads |
Comparing red beads and yellow beads at first |
110 more |
|
Before |
10 u |
4 u + 22 |
Change |
- 10 u |
- 4 u |
After |
0 |
22 |
(a)
If another 110 yellow beads are added into the box at first, the number of red and yellow beads will be the same.
10 u = 4 u + 22 + 110
10 u - 4 u = 22 + 110
6 u = 132
1 u = 132 ÷ 6 = 22
Number of beads that Valen took out
= 10 u + 4 u
= 14 u
= 14 x 22
= 308
(b)
Number of beads that Valen had at first
= 308 + 22
= 330
Answer(s): (a) 308; (b) 330