At first, Eric had 164 more gold beads than yellow beads in a box. Each day, he took out 8 gold beads and 3 yellow beads from the box. After some time, he only had 31 yellow beads left in the box.
- How many beads did Eric take out from the box altogether?
- How many yellow beads did Eric have at first?
| |
Gold beads |
Yellow beads |
Comparing gold beads
and yellow beads at first |
164 more |
|
| Before |
8 u |
3 u + 31 |
| Change |
- 8 u |
- 3 u |
| After |
0 |
31 |
(a)
If another 164 yellow beads are added into the box at first, the number of gold and yellow beads will be the same.
8 u = 3 u + 31 + 164
8 u - 3 u = 31 + 164
5 u = 195
1 u = 195 ÷ 5 = 39
Number of beads that Eric took out
= 8 u + 3 u
= 11 u
= 11 x 39
= 429
(b)
Number of beads that Eric had at first
= 429 + 31
= 460
Answer(s): (a) 429; (b) 460
