At first, Henry had 133 more gold beads than white beads in a box. Each day, he took out 7 gold beads and 4 white beads from the box. After some time, he only had 17 white beads left in the box.
- How many beads did Henry take out from the box altogether?
- How many white beads did Henry have at first?
| |
Gold beads |
White beads |
Comparing gold beads
and white beads at first |
133 more |
|
| Before |
7 u |
4 u + 17 |
| Change |
- 7 u |
- 4 u |
| After |
0 |
17 |
(a)
If another 133 white beads are added into the box at first, the number of gold and white beads will be the same.
7 u = 4 u + 17 + 133
7 u - 4 u = 17 + 133
3 u = 150
1 u = 150 ÷ 3 = 50
Number of beads that Henry took out
= 7 u + 4 u
= 11 u
= 11 x 50
= 550
(b)
Number of beads that Henry had at first
= 550 + 17
= 567
Answer(s): (a) 550; (b) 567
