At first, Howard had 107 more gold beads than red beads in a box. Each day, he took out 7 gold beads and 4 red beads from the box. After some time, he only had 22 red beads left in the box.
- How many beads did Howard take out from the box altogether?
- How many red beads did Howard have at first?
| |
Gold beads |
Red beads |
Comparing gold beads
and red beads at first |
107 more |
|
| Before |
7 u |
4 u + 22 |
| Change |
- 7 u |
- 4 u |
| After |
0 |
22 |
(a)
If another 107 red beads are added into the box at first, the number of gold and red beads will be the same.
7 u = 4 u + 22 + 107
7 u - 4 u = 22 + 107
3 u = 129
1 u = 129 ÷ 3 = 43
Number of beads that Howard took out
= 7 u + 4 u
= 11 u
= 11 x 43
= 473
(b)
Number of beads that Howard had at first
= 473 + 22
= 495
Answer(s): (a) 473; (b) 495
