At first, Riordan had 107 more yellow beads than white beads in a box. Each day, he took out 6 yellow beads and 2 white beads from the box. After some time, he only had 57 white beads left in the box.
- How many beads did Riordan take out from the box altogether?
- How many white beads did Riordan have at first?
| |
Yellow beads |
White beads |
Comparing yellow beads
and white beads at first |
107 more |
|
| Before |
6 u |
2 u + 57 |
| Change |
- 6 u |
- 2 u |
| After |
0 |
57 |
(a)
If another 107 white beads are added into the box at first, the number of yellow and white beads will be the same.
6 u = 2 u + 57 + 107
6 u - 2 u = 57 + 107
4 u = 164
1 u = 164 ÷ 4 = 41
Number of beads that Riordan took out
= 6 u + 2 u
= 8 u
= 8 x 41
= 328
(b)
Number of beads that Riordan had at first
= 328 + 57
= 385
Answer(s): (a) 328; (b) 385
